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Condensing operators. (English) Zbl 0477.47032


MSC:

47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
47J05 Equations involving nonlinear operators (general)
34C25 Periodic solutions to ordinary differential equations

Citations:

Zbl 0443.47056
Full Text: DOI

References:

[1] L. M. Averina and B. N. Sadovskii, ?Local solvability of functional-differential equations of neutral type,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 3, 1?12 (1971).
[2] R. R. Akhmerov, ?Averaging principle for systems of functional-differential equations of neutral type,? in: Materials of the Third All-Union Inter-University Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Chernovtsy (1972), pp. 14?15.
[3] R. R. Akhmerov, ?Averaging principle for functional-differential equations of neutral type,? Ukr. Mat. Zh.,25, No. 5, 579?588 (1973).
[4] R. R. Akhmerov, ?Existence of solutions of the Cauchy problem for a class of functional-differential equations of outstripping type,? in: Materials of the Ninth Scientific Conference of the Faculty of Physics-Mathematics and Natural Sciences, 1973 [in Russian], Moscow (1974), pp. 5?7.
[5] R. R. Akhmerov, ?Averaging principle on the entire axis for equations of neutral type,? Differents. Uravn.,13, No. 8, 1506 (1977).
[6] R. R. Akhmerov, ?Theory of equations of neutral type. Theory of operator equations,? Voronezh (1979), pp. 3?16. · Zbl 0447.34060
[7] R. R. Akhmerov, V. A. Vyazovikin, and A. E. Rodkina, ?Remark on the paper of V. F. Subbotin and V. F. Pulyaev ?Existence of solutions of systems of differential equations with deflected argument?,? in: Collected Papers of Graduate Students. Mathematical Faculty of Voronezh University [in Russian], Voronezh (1972), pp. 4?8.
[8] R. R. Akhmerov, N. G. Kazakova, and A. V. Pokrovskii, ?Principle of the absence of bounded solutions and absolute stability of equations of neutral type,? Serdika. B”lg. Mat. Spisanie,1, 61?69 (1978).
[9] R. R. Akhmerov and M. I. Kamenskii, ?N. N. Bogolyubov’s second theorem for functional-differential equations of neutral type,? in: Materials of the Third All-Union Inter-University Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Chernovtsy (1972), pp. 15?17.
[10] R. R. Akhmerov and M. I. Kamenskii, ?Averaging principle and stability of periodic solutions of equations of neutral type,? Tr. NII Mat. Voronezh. Gos. Univ., No. 15, 9?13 (1974).
[11] R. R. Akhmerov and M. I. Kamenskii, ?N. N. Bogolyubov’s second theorem in the averaging principle for functional-differential equations of neutral type,? Differents. Uravn.,10, No. 3, 537?540 (1974).
[12] R. R. Akhmerov and M. I. Kamenskii, ?An approach to the study of stability of periodic solutions in the averaging principle for functional-differential equations of neutral type,? Comment. Math. Univ. Carol.,16, No. 2, 293?313 (1975).
[13] R. R. Akhmerov and M. I. Kamenskii, ?Stability of an equilibrium state of functional-differential equations with small deflected argument,? Usp. Mat. Nauk,30, No. 2, 205?206 (1975).
[14] R. R. Akhmerov and M. I. Kamenskii, ?Stability of solutions of equations of neutral type,? in: Fourth All-Union Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Naukova Dumka, Kiev (1975), pp. 20?21.
[15] R. R. Akhmerov and M. I. Kamenskii, ?Bifurcation in strongly continuous families of operators,? in: Seventh All-Union Topological Conference [in Russian], Minsk (1977), p. 13.
[16] R. R. Akhmerov and M. I. Kamenskii, ?Stability in the first approximation to an ensemble of dynamical systems,? in: Proceedings of the Fifth All-Union Conference-Seminar on Control of Large Systems [in Russian], Alma-Ata (1978), pp. 114?115.
[17] R. R. Akhmerov and M. I. Kamenskii, ?Equations with small deflected argument,? in: All-Union Conference on Asymptotic Methods in the Theory of Singular Perturbations of Equations [in Russian], Part 2, Alma-Ata (1979), pp. 10?12.
[18] R. R. Akhmerov, M. I. Kamenskii, V. S. Kozyakin, and A. V. Sobolev, ?Periodic solution of systems of autonomic functional-differential equations of neutral type with small lag,? Differents. Uravn.,10, No. 11, 1923?1931 (1974).
[19] R. R. Akhmerov and A. E. Rodkina, ?Differential inequalities and the structure of an integral whirlpool of systems of functional-differential equations of neutral type,? in: Materials of the Third All-Union Inter-University Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Chernovtsy (1972), pp. 17?18.
[20] R. R. Akhmerov and A. E. Rodkina, ?Differential inequalities and the structure of an integral whirlpool of systems of functional-differential equations of neutral type,? Differents. Uravn.,9, No. 5, 797?806 (1973).
[21] A. L. Badoev and B. N. Sadovskii, ?Examples of a condensing operator in the theory of differential equations with deflected argument of neutral type,? Dokl. Akad. Nauk SSSR,186, No. 6, 1239?1242 (1969).
[22] V. A. Bondarenko, ?Existence of a universal measure of noncompactness,? in: Problems of Mathematical Analysis of Complex Systems [in Russian], No. 2, Voronezhsk. Gos. Univ., Voronezh (1968), pp. 18?21.
[23] Yu. G. Borisovich, ?Topological theory of nonlinear mappings in Banach spaces,? in: Seventh Summer Mathematics School, 1969 [in Russian], Kiev (1970), pp. 274?282.
[24] Yu. G. Borisovich, B. D. Gel’man, A. D. Myshkis, and V. V. Obukhovskii, ?Topological methods in the theory of fixed points of multivalued mappings,? Usp. Mat. Nauk,35, No. 1, 59?126 (1980).
[25] Yu. G. Borisovich and L. M., Margulis, ?Topological degree of nonlinear noncompact mappings,? Tr. NII Mat. Voronezh. Gos. Univ., No. 5, 19?27 (1972).
[26] Yu. G. Borisovich and Yu. I. Sapronov, ?Topological theory of condensing operators,? Dokl. Akad. Nauk SSSR,183, No. 1, 18?20 (1968). · Zbl 0176.45402
[27] Yu. G. Borisovich and Yu. I. Sapronov, ?Topological theory of compactly carried mappings,? Tr.Semin. Funkts. Anal. Voronezh. Gos. Univ., No. 12, 43?68 (1969). · Zbl 0266.47047
[28] K. Borsuk, Theory of Retracts [Russian translation], Mir, Moscow (1971).
[29] V. G. Brodovskii, ?A boundary problem for differential equations with deflected argument,? KazSSR Gylym Akad. Khabarlary, Izv. Akad. Nauk KazSSR, Ser. Fiz. Mat., No. 5, 25?30 (1970).
[30] G. M. Vainikko, ?Principle of compact approximation in the theory of approximation methods,? Zh. Vychisl. Mat. Mat. Fiz.,9, No. 4, 739?761 (1969).
[31] G. M. Vainikko, Compact Approximation of Operators and Approximate Solution of Equations [in Russian], Tartus. Gos. Univ., Tartu (1970).
[32] G. M. Vainikko, Analysis of Methods of Discretization [in Russian], Special Course, Tartus. Gos. Univ., Tartu (1976).
[33] G. M. Vainikko and B. N. Sadovskii, ?Rotation of condensing vector fields,? in: Problems of Mathematical Analysis of Complex Systems [in Russian], No. 2, Voronezhsk. Gos. Univ., Voronezh (1968), pp. 84?88.
[34] Yu. N. Vladimirskii, ?Compact approximation in Banach spaces,? Sib. Mat. Zh.,15, No. 1, 200?204 (1974). · Zbl 0287.41019 · doi:10.1007/BF00968322
[35] E. A. Gango, ?Theorems on fixed points of multivalued mappings,? Uch. Zap. Leningr. Gos. Pedagog. Inst. im.A.I. Gertsena,464, 137?146 (1970).
[36] V. M. Gershtein, ?Dissipative differential equations in a Banach space,? Funkts. Anal. Prilozhen.,4, No. 3, 99?100 (1970). · Zbl 0212.15801 · doi:10.1007/BF01094484
[37] V. M. Gershtein, ?Dissipative flows,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 1, 26?34 (1970).
[38] Yu. E. Gliklikh, ?Translation operator along trajectories of functional-differential equations on smooth manifolds,? Tr. NII Mat. Voronezh. Gos. Univ., No. 17, 18?24 (1975).
[39] Yu. E. Gliklikh, ?Pseudointegral curves of functional-differential equations on Riemannian manifolds,? in: Methods of Solution of Operator Equations [in Russian], Voronezh (1978), pp. 28?33.
[40] L. S. Gol’denshtein, I. Ts. Gokhberg, and A. S. Markus, ?Properties of bounded linear operators studied with the help of the q-norm,? Uch. Zap. Kishinevsk. Gos. Univ., No. 29, 29?36 (1957).
[41] L. S. Gol’denshtein and A. S. Markus, ?Measure of noncompactness of bounded sets and linear operators,? in: Studies in Algebra and Mathematical Analysis [in Russian], Kartya Moldovenyaske, Kishinev (1965), pp. 45?54.
[42] Ya. I. Gol’tser and A. M. Zverkin, ?Existence and uniqueness of solutions of differential equations with delay in a Banach space,? Différents. Uravn.,12, No. 8, 1404?1409 (1976).
[43] G. M. Goncharov, ?Generalization of a theorem of Leray-Schauder,? Tr. Tsentr. Zonal’n. Ob”edin. Mat. Kafedr. Kalinin. Gos. Pedagog. Inst., No. 1, 80?85 (1970).
[44] G. M. Goncharov, ?Existence theorems for solutions for a class of nonlinear operator equations,? Mat. Zametki,7, No. 2, 229?237 (1970). · Zbl 0198.48102
[45] I. Ts. Gokhberg and M. G. Krein, ?Basic situation of defect numbers, root numbers, and indices of linear operators,? Usp. Mat. Nauk,12, No. 2, 43?118 (1957).
[46] N. M. Gulevich and A. I. Povolotskii, ?Fixed points of operators in Hilbert space,? in: Theory of Functions and Functional Analysis [in Russian], Leningrad (1975), pp. 42?45.
[47] Yu. A. Dyadchenko, ?Local solvability of operator equations,? in: Qualitative and Approximate Methods of Investigation of Operator Equations [in Russian], No. 3, Yaroslavl’ (1978), pp. 48?60. · Zbl 0451.47083
[48] Yu. A. Dyadchenko, ?Solvability of a nonlinear operator equation of Volterra type,? in: Theory of Operator Equations [in Russian], Voronezh (1979), pp. 22?33.
[49] P. P. Zabreiko, ?Cauchy problem for ordinary differential equations in Banach spaces,? God. Vissh. Tekh. Uchebn. Zaved. Prilozhna Mat.,11, No. 1, 53?60 [1975 (1976?1977)].
[50] P. P. Zabreiko, M. A. Krasnosel’skii, and V. V. Strygin, ?Invariance of rotation principles,? Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 51?57 (1972).
[51] P. P. Zabreiko and I. B. Ledovskaya, ?Existence theorems for equations in a Banach space and the averaging principle,? in: Problems of the Mathematical Analysis of Complex Systems [in Russian], No. 3, Voronezh. Gos. Univ. (1968), pp. 122?136.
[52] P. P. Zabreiko and Yu. I. Fetisov, ?Application of the Bogolyubov-Krylov averaging method to hyperbolic equations,? Vestn. Yaroslav. Gos. Univ., No. 7, 150?155 (1974).
[53] Ya. A. Izrailevich and V. V. Obukhovskii, ?Topological characteristics of equivariant multivalued mappings,? Tr. Mat. F-ta, Voronezh. Gos. Univ., No. 10, 52?61 (1973).
[54] A. A. Kalmykov, ?Fixed points of condensing operators, expanding a cone,? Uch. Zap. Perm. Gos. Univ., No. 309, 29?32 (1974).
[55] A. A. Kalmykov, (k, ?)-Boundedness Conditions for Integral Operators in Spaces of Functions Continuous and Bounded on an Infinite Interval [in Russian], Perm. Gos. Univ., Perm’ (1977).
[56] A. A. Kalmykov, Projective Measures of Noncompactness and Projective Condensing Operators [in Russian], Perm. Gos. Univ., Perm’ (1977). · Zbl 0432.47039
[57] G. A. Kamenskii and A. D. Myshkis, ?Boundary problems for a nonlinear differential equation with deflected argument of neutral type,? Differents. Uravn.,8, No. 12, 2171?2179 (1972). · Zbl 0299.34091
[58] M. I. Kamenskii, ?Theory of the degree of a map,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 4, 54?60 (1971).
[59] M. I. Kamenskii, ?Calculation of the rotation of a condensing vector field,? Sb. Voronezh. Gos. Univ.,2, 32?36 (1972).
[60] M. I. Kamenskii, ?Two theorems on the existence of a periodic solution of a functional-differential equation of neutral type,? in: Materials of the Third All-Union Inter-University Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Chernovtsy (1972), pp. 100?102.
[61] M. I. Kamenskii, ?Peano’s theorem in infinite-dimensional spaces,? Mat. Zametki,11, No. 5, 569?576 (1972).
[62] M. I. Kamenskii, ?Theory of perturbations of bounded operators in a Banach space,? in: Collection of Graduate Students’ Papers [in Russian], No. 2, Voronezh. Gos. Univ. (1974), pp. 18?23.
[63] M. I. Kamenskii, ?Calculation of the index of an isolated solution of the Cauchy problem for functional-differential equations of neutral type,? in: Functional Analysis and Its Applications [in Russian], No. 1, Voronezh (1973), pp. 6?13.
[64] M. I. Kamenskii, ?Andronov-Witt’s theorem for functional-differential equations of neutral type,? Tr. NII Mat. Voronezh. Gos. Univ., No. 12, 31?36 (1974).
[65] M. I. Kamenskii, ?Translation operator along trajectories of equations of neutral type,? in: Collection of Graduate Students’ Papers on the Theory of Functions and Differential Equations [in Russian], Voronezh (1974), pp. 19?22.
[66] M. I. Kamenskii, ?Theory of periodic solutions for functional-differential equations of neutral type,? Tr. NII Mat. Voronezhsk. Gos. Univ., No. 15, 32?36 (1974).
[67] M. I. Kamenskii, ?Stability of linear systems of equations of neutral type,? in: Fourth All-Union Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Naukova Dumka, Kiev (1975), pp. 110?111.
[68] M. I. Kamenskii, ?Noncompactness measures and the theory of perturbations of linear operators,? Uch. Zap. Tartus. Gos. Univ., No. 430, 112?122 (1977).
[69] M. I. Kamenskii, ?Translation operator along trajectories of equations of neutral type depending on a parameter,? Uch. Zap. Tartus. Gos. Univ., No. 448/21, 107?117 (1978).
[70] M. I. Kamenskii and R. R. Akhmerov, ?N. N. Bogolyubov’s theorems in the averaging principle,? in: All-Union Conference on the Qualitative Theory of Differential Equations and Methods of Instruction in the Theory of Differential Equations in Pedagogical Institutes [in Russian], Ryazan’ (1976), pp. 157?158.
[71] V. S. Kozyakin, ?Condensing and compressing operators,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 1, 60?70 (1970).
[72] M. A. Krasnosel’skii, Topological Methods in the Theory of Nonlinear Integral Equations [in Russian], Gostekhizdat, Moscow (1956).
[73] M. A. Krasnosel’skii, ?Some new fixed point principles,? Dokl. Akad. Nauk SSSR,208, No. 6, 1280?1281 (1973).
[74] M. A. Krasnosel’skii and P. P. Zabreiko, Geometric Methods of Nonlinear Analysis [in Russian], Nauka, Moscow (1975).
[75] M. A. Krasnosel’skii and S. G. Krein, ?Theory of ordinary differential equations in a Banach space,? Tr. Semin. Funkts. Anal. Voronezhsk. Gos. Univ., No. 2, 3?23 (1956).
[76] K. Kuratowski, Topology, Vol. 1, Academic Press (1966).
[77] V. G. Kurbatov, ?Spectral radii and Fredholm radii of certain linear operators in the space of functions continuous and bounded on the axis,? in: Collection of Graduate Students’ Papers [in Russian], No. 2, Voronezh. Gos. Univ. (1972), pp. 47?51.
[78] E. A. Lifshits and B. N. Sadovskii, ?Fixed point theorem for generalized condensing maps,? Dokl. Akad. Nauk SSSR,183, No. 2, 278?279 (1968).
[79] G. B. Lyal’kina, ?Generalization of Schaefer’s principle to condensing operators,? Uch. Zap. Perm. Gos. Univ., No. 309, 13?19 (1974).
[80] G. B. Lyal’kina, ?Derivatives and derivatives with respect to a cone of a (k,?)-bounded operator,? Uch. Zap. Perm. Gos. Univ., No. 291, 14?16 (1975).
[81] G. B. Lyal’kina, ?Repelling points of a condensing operator in a Banach space with cone,? Uch. Zap. Perm. Gos. Univ., No. 291, 22?24 (1975).
[82] G. B. Lyal’kina, ?Fixed points of positive condensing operators strongly asymptotic to linear ones with respect to a cone,? Uch. Zap. Perm. Gos. Univ., No. 291, 25?30 (1975).
[83] G. B. Lyal’kina, ?Galerkin’s method of convergence with perturbations for equations with condensing operators,? Uch. Zap. Perm. Gos. Univ., No. 291, 31?33 (1975).
[84] G. B. Lyal’kina, ?Conditions for a Uryson operator to be ?-condensing in spaces C and Lp,? in: Functional-Differential Equations and Boundary Problems of Mathematical Physics [in Russian], Perm’ (1978), pp. 166?168.
[85] G. B. Lyal’kina and A. A. Kalmykov, ?An attracting point of a condensing operator in a semiordered Banach space,? Uch. Zap. Perm. Gos. Univ., No. 291, 17?21 (1975).
[86] V. M. Millionshchikov, ?Differential equations in locally convex spaces,? Mat. Sb.,57, No. 4, 385?406 (1962). · Zbl 0203.46103
[87] I. V. Misyurkeev, ?Existence of fixed points of condensing operators strongly asymptotically linear with respect to a cone,? Uch. Zap. Perm. Gos. Univ., No. 309, 20?25 (1974).
[88] I. V. Misyurkeev and G. B. Lyal’kina, ?Study of a class of nonlinear integral equations by topological methods,? Uch. Zap. Perm. Gos. Univ., No. 271, 20?25 (1973).
[89] I. Muntyan, ?Fixed point theorem in locally convex spaces,? Rev. Roum. Math. Pures Appl.,19, No. 9, 1105?1109 (1974).
[90] A. M. Mukhsinov, ?Differential inclusions in Banach spaces,? Dokl. Akad. Nauk SSSR,217, No. 4, 759?761 (1974). · Zbl 0313.34069
[91] V. R. Nosov, ?Massera-Halanyi theorem for linear systems of neutral type,? in: Materials of the Ninth Scientific Conference of the Faculty of Physical-Mathematical and Natural Sciences of P. Lumumba University of Friendly Peoples [in Russian], Moscow (1974), pp. 42?43.
[92] V. V. Obukhovskii, ?Fixed point principles for multivalued condensing operators,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 4, 70?79 (1971).
[93] V. V. Obukhovskii, ?Rotation of condensing multivalued vector fields,? in: Abstracts of the Sixth All-Union Topology Conference [in Russian], Metsniereba, Tbilisi (1972), pp. 93?94.
[94] V. V. Obukhovskii, ?The degree for a class of noncompact multivalued mappings,? in: School on the Theory of Operators in Function Spaces [in Russian], Minsk (1978), pp. 102?103.
[95] V. V. Obukhovskii and E. V. Gorokhov, ?Definition of the rotation of a class of compactly carried multivalued vector fields,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 12, 45?54 (1974).
[96] R. Palais, Seminar on the Atiyah-Singer Index Theorem [Russian translation], Mir, Moscow (1970). · Zbl 0202.23103
[97] V. V. Petrishin, ?Extension of Sheffer’s theorem to many-valued contraction operators,? Dopovidi Akad. Nauk Ukr. RSR, A, No. 10, 889?891, 956 (1973).
[98] A. S. Potapov, ?Calculation of the index of an isolated singular point of a condensing vector field ?=I-A with sufficiently smooth operator A,? in: Collection of Students’ Scientific Papers [in Russian], Voronezh. Gos. Univ. (1972), pp. 89?92.
[99] A. S. Potapov, ?Estimates of the Fredholm radius of a linear operator,? Tr. NII Mat. Voronezh. Gos. Univ., No. 5, 108?113 (1972).
[100] A. S. Potapov, ?Measure of noncompactness of certain sets,? in: Functional Analysis and Its Applications [in Russian], No. 1, Voronezh (1973), pp. 23?27.
[101] A. S. Potapov, ?Rotation of multivalued vector fields,? in: Collection of Graduate Students’ Papers [in Russian], No. 2, Voronezh. Gos. Univ. (1974), pp. 41?44.
[102] A. S. Potapov, ?Theory of rotation of limit compact vector fields,? Comment. Math. Univ. Carol.,15, No. 4, 693?716 (1974).
[103] A. S. Potapov, ?K-operators and measures of noncompactness,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 16, 34?40 (1975).
[104] A. S. Potapov, T. Ya. Potapova, and V. A. Filin, ?Fixed points and eigenvectors of positive condensing operators,? Comment. Math. Univ. Carol.,18, No. 2, 219?230 (1977).
[105] A. S. Potapov and B. N. Sadovskii, ?Difference of classes Kn,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 16, 40?44 (1975).
[106] A. S. Potapov and B. N. Sadovskii, ?Rotation of a class of noncompact vector fields,? in: Seventh All-Union Topology Conference [in Russian], Minsk (1977), p. 155.
[107] A. E. Rodkina, ?A version of the topological connectivity principle,? Usp. Mat. Nauk,30, No. 2, 225?226 (1975).
[108] A. E. Rodkina and B. N. Sadovskii, ?Krasnosel’skii-Perova connectivity principle,? Tr. Mat. Fak. Voronezhsk. Gos. Univ., No. 4, 89?103 (1971).
[109] A. E. Rodkina and B. N. Sadovskii, ?Differentiation of the translation operator along trajectories of an equation of neutral type,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 12, 31?37 (1974).
[110] B. N. Sadovskii, ?A fixed point principle,? Funkts. Anal. Prilozhen.,1, No. 2, 74?76 (1967).
[111] B. N. Sadovskii, ?Measures of noncompactness and condensing operators,? in; Problems of Mathematical Analysis of Complex Systems [in Russian], No. 2, Voronezhsk. Gos. Univ., Voronezh (1968), pp. 89?119.
[112] B. N. Sadovskii, ?Local solvability of ordinary differential equations in a Banach space,? in; Problems of Mathematical Analysis of Complex Systems [in Russian], No. 3, Voronezh (1968), pp. 232?243.
[113] B. N. Sadovskii, ?Condensing operators and measures of noncompactness,? Tr. Mat. Fak. Voronezh. Gos. Univ., No. 1, 112?124 (1970).
[114] B. N. Sadovskii, ?Differential equations with uniformly continuous right side,? Tr. NII Mat. Voronezh. Gos. Univ., No. 1, 128?136 (1970).
[115] B. N. Sadovskii, ?Application of topological methods to the theory of periodic solutions of nonlinear differential-operator equations of neutral type,? Dokl. Akad. Nauk SSSR,200, No. 5, 1037?1040 (1971).
[116] B. N. Sadovskii, ?Limit compact and condensing operators,? Usp. Mat. Nauk,27, No. 1, 81?146 (1972).
[117] B. N. Sadovskii, ?Periodic solution of functional-differential equations of neutral type,? in: Materials of the Third All-Union Inter-University Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Chernovtsy (1972), pp. 176?177.
[118] B. N. Sadovskii, ?Theory of rotation of limit compact vector fields and its applications,? in: Sixth All-Union Topology Conference [in Russian], Metsniereba, Tbilisi (1972), p. 105.
[119] B. N. Sadovskii, ?Equations of neutral type and condensing operators,? in: Fourth Ail-Union Conference on the Theory and Applications of Differential Equations with Deflected Argument [in Russian], Naukova Dumka, Kiev (1975), pp. 210?211.
[120] B. N. Sadovskii, ?Three new results in the theory of measures of noncompactness and condensing operators,? in: School on Theory of Operators in Function Spaces [in Russian], Minsk (1978), pp. 128?130.
[121] B. N. Sadovskii, ?Condensing operators and differential equations,? Preprint IM Sib. Otd. Akad. Nauk SSSR (School on Theory of Operators in Function Spaces), Novosibirsk (1979).
[122] Yu. I. Sapronov, ?Algebraic theory of the index,? Tr. Semin. Funkts. Anal. Voronezhsk. Gos. Univ., No. 12, 143?154 (1969).
[123] Yu. I. Sapronov, ?Rotation of vector fields with condensing operators,? in: Collection of Students’ Papers [in Russian], Voronezh. Gos. Univ., No. 3, 15?20 (1970).
[124] Yu. I. Sapronov, ?Homotopy classification of condensing maps,? Tr. Mat. Fak. Voronezh. Gos. Univ. No. 6, 78?80 (1972).
[125] A. A. Sedaev, ?Structure of certain linear operators,? in; Mathematical Studies [in Russian], Vol. 5, No. 1, Kishinev (1970), pp. 166?175.
[126] A. A. Tolstonogov, ?Classical solution of differential inclusions in Banach spaces with nonconvex right side,? in: Nonlinear Oscillations and the Theory of Control [in Russian], No. 2, Izhevsk (1978), pp. 16?23. · Zbl 0543.34007
[127] A. A. Tolstonogov, ?Differential inclusions in Banach spaces and continuous selectors,? Dokl. Akad. Nauk SSSR,244, No. 5, 1088?1092 (1979).
[128] A. A. Tolstonogov, ?Properties of inclusions in a Banach space,? Dokl. Akad. Nauk SSSR,248, No. 1, 42?46 (1979). · Zbl 0441.34045
[129] V. A. Filin, ?Solvability of operator equations with condensing operators,? Dokl. Akad. Fankhoi RSS Tochikiston. Dokl. Akad. Nauk TadzhSSR,17, No. 10, 12?15 (1974).
[130] V. A. Filin, ?Existence of an eigenvalue of a quasi-positive operator,? in: Theory of Functions and Functional Analysis [in Russian], Dushanbe (1979), pp. 92?96.
[131] V. A. Filin, ?Positive solutions of a nonlinear integral equation,? in: Theory of Functions and Functional Analysis [in Russian], Dushanbe (1979), pp. 97?101.
[132] Khatch Olia, ?Existence of solution of system of differential equations in locally convex space,? Mat. Vesn.12, No. 1, 63?70 (1975).
[133] A. V. Kholodkov, ?Solvability of a differential-operator equation of neutral type with a Volterra type operator,? in: Questions of Computational and Applied Mathematics [in Russian], No. 25, Tashkent (1974), pp. 3?9.
[134] A. V. Kholodkov, ?Averaging of differential-operator equations of neutral type,? in: Questions of Computational and Applied Mathematics [in Russian], No. 28, Tashkent (1974), pp. 69?79.
[135] M. Ali?, ?Measures of noncompactness and seminorms,? Glas. Mat.,9, No. 2, 267?271 (1974). · Zbl 0324.28003
[136] H. Amann, ?On the number of solutions of nonlinear equations in ordered Banach spaces,? J. Funct. Anal.,11, No. 3, 346?384 (1972). · Zbl 0244.47046 · doi:10.1016/0022-1236(72)90074-2
[137] H. Amann, ?Fixed points of asymptotically linear maps in ordered Banach spaces,? J. Funct. Anal.,14, No. 2, 162?171 (1973). · Zbl 0263.47043 · doi:10.1016/0022-1236(73)90048-7
[138] H. Amann, ?Nonlinear operators in ordered Banach spaces and some applications to nonlinear boundaryvalue problems,? Lect. Notes Math.,543, 1?55 (1976). · Zbl 0345.47045 · doi:10.1007/BFb0079941
[139] A. Ambrosetti, ?Un theorema di esistenza per le equazioni differenziali negli spazi di Banach,? Rend. Semin. Mat. Univ. Padova,39, 349?361 [1967 (1968)].
[140] A. Ambrosetti, ?Proprietà spettrali di certi operatori linear! non compatti,? Rend. Sem. Mat. Univ. Padova,42, 188?200 (1969).
[141] C. J. Amick, ?Some remarks on Rellich’s theorem and the Poincaré inequality,? J. London Math. Soc.,18, No. 1, 81?93 (1978). · Zbl 0391.46029 · doi:10.1112/jlms/s2-18.1.81
[142] J. Appell, Approximierbare Operatoren in normierten und lokalkonvexen Räumen, Inauguraldiss., Freien Univ. Berlin, Berlin (1978). · Zbl 0404.47027
[143] Z. Artstein, ?On continuous dependence of fixed points of condensing maps,? Preprint (1974). · Zbl 0342.47035
[144] Z. Artstein, ?Continuous dependence of solutions of operator equations. I,? Trans. Am. Math. Soc.,231, No. 1, 143?166 (1977). · Zbl 0368.47035 · doi:10.1090/S0002-9947-1977-0445351-1
[145] T. D. Benavides, ?An existence theorem for implicit differential equations in a Banach space,? Ann. Mat. Pura Appl.,118, 119?130 (1978). · Zbl 0418.34058 · doi:10.1007/BF02415125
[146] S. Bernfeld and V. Lakshmikantham, ?Monotone methods for nonlinear boundary value problems in Banach spaces,? Nonlinear Analysis: Theory, Methods, and Appl.,3, No. 3, 303?316 (1979). · Zbl 0423.34087 · doi:10.1016/0362-546X(79)90020-8
[147] S. Bernfeld, V. Lakshmikantham, and Y. M. Reddy, ?Fixed points of operators with PPE dependence in Banach spaces,? Appl. Anal.,6, No. 4, 271?280 (1977). · Zbl 0375.47027 · doi:10.1080/00036817708839165
[148] R. Bittner and T. Pruszko, ?On the application of operational calculus to the problem of the existence and uniqueness of solutions of nonlinear differential equations,? Demonstr. Math.,10, Nos. 3?4, 705?730 (1977). · Zbl 0384.34004
[149] G. Bossan, ?Some remarks on a measure of noncompactness in probabilistic metric spaces,? Bull. Math. Soc. Sci. Math. RSR,20, Nos. 1?2, 41?44 (1976(1977)].
[150] Ju. G. Borisovi? and Ju. E. Gliklih, ?Fixed points of mappings of Banach manifolds and some applicaations,? Nonlinear Anal.: Theory, Meth., Appl.,4, No. 1, 165?192 (1980). · Zbl 0427.58009 · doi:10.1016/0362-546X(80)90046-2
[151] F. E. Browder, ?Recent results in nonlinear functional analysis and applications to partial differential equations,? in: Actes Congr. Int. Matematiciens, 1970, Vol. 2, Paris (1971), pp. 821?829.
[152] F. E. Browder, Nonlinear Operators and Nonlinear Equations of Evolution, Am. Math. Soc., Providence (1976). · Zbl 0327.47022
[153] F. E. Browder and R. D. Nussbaum, ?The topological degree for noncompact, nonlinear mapping in Banach spaces,? Bull. Am. Math. Soc.,74, No. 4, 671?676 (1968). · Zbl 0164.17002 · doi:10.1090/S0002-9904-1968-11988-3
[154] H. Buley, ?Fixed point theorems of Rothe-type for Frum-Ketkov and 1-set contractions,? Comment. Math. Univ. Carol.,19, No. 2, 213?225 (1978). · Zbl 0371.47040
[155] B. Calvert, ?Fixed points for U + C where U is Lipschitz and C is compact,? Yokohama Math. J.,25, No. 1, 1?4 (1977). · Zbl 0369.47032
[156] A. Cellina, ?On the existence of solutions of ordinary differential equations in Banach spaces,? Funkc. Ekvacig.,14, No. 2, 129?136 (1971). · Zbl 0271.34071
[157] J. Chandra, V. Lakshmikantham, and A. R. Mitchell, ?Existence of solutions of boundary value problems for nonlinear second-order systems in a Banach space,? Nonlinear Anal.: Theory, Meth. Appl.,2, No. 2, 157?168 (1978). · Zbl 0385.34035 · doi:10.1016/0362-546X(78)90062-7
[158] H. Chatterjee, ?Remark on some theorems of K. Iseki,? Indian J. Pure Appl. Math.,10, No. 2, 158?160 (1979). · Zbl 0403.54040
[159] Martin F. Cheng, ?On continuity of fixed points of collectively condensing maps,? Proc. Am. Math. Soc.,63, No. 1, 74?76 (1977). · Zbl 0371.47054 · doi:10.1090/S0002-9939-1977-0435943-3
[160] Martin F. Cheng, ?On certain condensing operators and the behavior of their fixed points with respect to parameters,? J. Math. Anal. Appl.,64, No. 3, 505?517 (1978). · Zbl 0409.47039 · doi:10.1016/0022-247X(78)90001-X
[161] Shui-Nee Chow and J. K. Hale, ?Strongly limit-compact maps,? Funkc. Ekvacig,17, No. 1, 31?38 (1974). · Zbl 0297.47048
[162] Shui-Nee Chow and J. K. Hale, ?Periodic solutions of autonomous equations,? J. Math. Anal. Appl.,66, No. 3, 495?506 (1978). · Zbl 0397.34091 · doi:10.1016/0022-247X(78)90250-0
[163] Gh. Constantin, ?Some spectral properties for the locally ?-contraction operators,? Boll. Unione Mat. Ital.,6, No. 3, 323?330 (1972). · Zbl 0266.47002
[164] G. Conti and P. Nistri, ?A fixed point theorem for noncompact acyclic-valued maps,? Rend. Accad. Sci. Fis. Mat. Soc. Naz. Sci. Lett. Arti Napoli,42, 510?517 [1975(1976)].
[165] M. Cousland, ?An A-proper map with prescribed topological degree,? Proc. Am. Math. Soc.,58, 179?184 (1976). · Zbl 0305.47033
[166] E. Cramer, V. Lakshmikantham, and A. R. Mitchell, ?On the existence of weak solutions of differential equations in nonreflexive Banach spaces,? Nonlinear Anal.: Theory, Meth. Appl.,2, No. 2, 169?177 (1978). · Zbl 0379.34041 · doi:10.1016/0362-546X(78)90063-9
[167] S. J. Daher, ?On a fixed point principle of Sadovskii,? Nonlinear Anal.: Theory, Meth. Appl.,2, No. 5, 643?645 (1978). · Zbl 0377.47038 · doi:10.1016/0362-546X(78)90012-3
[168] S. J. Daher, ?Fixed point theorems for nonlinear operators with a sequential condition,? Nonlinear Anal.: Theory, Meth. Appl.,3, No. 1, 59?63 (1979). · Zbl 0424.47036 · doi:10.1016/0362-546X(79)90035-X
[169] J. Dane?, ?Generalized concentrative mappings and fixed points,? Summer School on Fixed Points, Krkono?e, Czechoslovakia, Aug. 31?Sept. 6, 1969
[170] J. Dane?, ?Generalized concentrative mappings and their fixed points,? Comment. Math. Univ. Carol.11, No. 1, 115?136 (1970).
[171] J. Dane?, ?Fixed point theorems, Nemyckii and Uryson operators and continuity of nonlinear mappings,? Comment. Math. Univ. Carol,11, No. 3, 481?500 (1970). · Zbl 0202.14802
[172] J. Dane?, ?Some fixed point theorems in metric and Banach spaces,? Comment. Math. Univ. Carol,12, No. 1, 37?51 (1971). · Zbl 0224.47032
[173] J. Dane?, ?Surjectivity and fixed point theorems (Prelim, commun.),? Comment. Math. Univ. Carol,13, No. 1, 181?184 (1972).
[174] J. Dane?, ?On densifying and related mappings and their application in nonlinear functional analysis,? Schriftenr. Zentralinst. Mach. Meth., No. 20, 15?56 (1974).
[175] J. Dane?, ?On Istratescu’s measure of noncompactness,? Bull. Math. Soc. Sci. Math. RSR,16, No. 4, 403?406 [1972(1974)].
[176] J. Dane?, ?Two fixed point theorems in topological and metric spaces,? Bull. Austral. Math. Soc.,14, No. 2, 259?266 (1976). · Zbl 0318.54046 · doi:10.1017/S0004972700025077
[177] G. Darbo, ?Punti uniti in transformazioni a codominio non compatto,? Rend. Seminar. Mat. Univ. Padova, Parte 1,24, 84?92 (1955). · Zbl 0064.35704
[178] F. S. de Blasi, ?The measure of the weak noncompactness of the unit sphere in a Banach space is either zero or one,? Ist. Mat. Ulisse Dini, Univ. Studi Firenze, Preprint No. 7, 1974?1975.
[179] F. S. de Blasi, ?A local approach to the differentiability of multifunctions,? Ist. Mat. Ulisse Dini, Univ. Studi Firenze, Preprint No. 13, 1974?1975.
[180] F. S. de Blasi, ?Existence and stability of solutions for autonomous multivalued differential equations in Banach space,? Ist. Mat. Ulisse Dini, Univ. Studi Firenze, Preprint No. 14, 1974?1975.
[181] F. S. de Blasi, ?Compactness gauges and fixed points,? Atti Accad. Naz. Lincei, Cl. Sci. Fis., Mat. Natur. Rend.,57, Nos. 3?4, 170?176 [1974(1975)].
[182] F. S. de Blasi, ?Existence and stability of solutions for autonomous multivalued differential equations in Banach space,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,60, No. 6, 767?774 (1976). · Zbl 0371.34039
[183] F. S. de Blasi, ?On the differentiability of multifunctions,? Pacific J. Math.,66, No. 1, 67?81 (1976). · Zbl 0348.58004 · doi:10.2140/pjm.1976.66.67
[184] F. S. de Blasi, ?On a property of the unit sphere in a Banach space,? Bull. Math. Soc. Sci. Math. RSR,21, Nos. 3?4, 259?262 (1977). · Zbl 0365.46015
[185] S. Deb and S. P. Singh, ?Fixed point theorems in topological vector spaces,? Ann. Soc. Sci. Bruxelles, Ser. I,88, No. 3, 273?280 (1974). · Zbl 0297.47044
[186] K. Deimling, ?On existence and uniqueness for Cauchy’s problem in infinite dimensional Banach spaces,? Differ. Equat. 15. Colloq. Math. Soc. János Bolyai, Keszthely, 1974, Amsterdam e.a. (1977), pp. 131?142.
[187] K. Deimling, ?Periodic solutions of differential equations in Banach spaces,? Manuscr. Math.,24, No. 1, 31?44 (1978). · Zbl 0373.34032 · doi:10.1007/BF01168561
[188] J. Dugundji, ?An extension of Tietze’s theorem,? Pacific J. Math.,1, No. 2, 353?387 (1951). · Zbl 0043.38105 · doi:10.2140/pjm.1951.1.353
[189] M. Edelstein and R. C. O’Brien, ?Nonexpansive mappings, asymptotic regularity and successive approximations,? J. London Math. Soc.,17, No. 3, 547?554 (1978). · Zbl 0421.47031 · doi:10.1112/jlms/s2-17.3.547
[190] D. E. Edmunds, A. J. B. Potter, and C. A. Stuart, ?Noncompact positive operators,? Proc. R. Philos. Soc., Ser. A,328, 67?81 (1972). · Zbl 0232.47035 · doi:10.1098/rspa.1972.0069
[191] D. E. Edmunds and J. R. L. Webb, ?Nonlinear operator equations in Hilbert spaces,? J. Math. Anal. Appl.,34, No. 3, 471?478 (1971). · Zbl 0188.20903 · doi:10.1016/0022-247X(71)90092-8
[192] D. E. Edmunds and J. R. L. Webb, ?Some generalizations of the Borsuk-Ulam theorem,? Math. Proc. Cambridge Philos. Soc.,82, No. 1, 119?125 (1977). · Zbl 0353.47032 · doi:10.1017/S0305004100053743
[193] J. Eisenfeld and V. Lakshmikantham, ?Fixed point theorems through abstract cones,? J. Math. Anal. Appl.,52, No. 1, 25?35 (1975). · Zbl 0312.47049 · doi:10.1016/0022-247X(75)90052-9
[194] J. Eisenfeld and V. Lakshmikantham, ?On a measure of nonconvexity and applications,? Yokohama Math. J.,24, Nos. 1?2, 133?140 (1976). · Zbl 0361.34051
[195] J. Eisenfeld and V. Lakshmikantham, ?On the existence of solutions of differential equations in a Banach space,? Rev. Roum. Math. Pures Appl.,22, No. 9, 1215?1221 (1977). · Zbl 0383.34045
[196] J. Eisenfeld and V. Lakshmikantham, ?Remarks on nonlinear contraction and comparison principle in abstract cones,? J. Math. Anal. Appl.,61, No. 1, 116?121 (1977). · Zbl 0435.47059 · doi:10.1016/0022-247X(77)90147-0
[197] J. Eisenfeld, V. Lakshmikantham, and S. R. Bernfeld, ?On the construction of a norm associated with the measure of noncompactness,? Nonlinear Anal.: Theory, Meth. Appl.,1, No. 1, 49?54 (1976). · Zbl 0363.34043 · doi:10.1016/0362-546X(76)90007-9
[198] C. Fenske, ?Analytische Theorie des Abbildungsgrades für Abbildungen in Banachräumen,? Math. Nachr.,48, Nos. 1?6, 279?290 (1971). · Zbl 0192.49002 · doi:10.1002/mana.19710480121
[199] C. Fenske, ?Leray-Schauder Theorie für eine Klasse differenzierbarer Abbildungen Banachräumen,? Ber. Ges. Math. Datenverarb., No. 48 (1971).
[200] P. M. Fitzpatrick, ?A generalized degree for uniform limits of A-proper mappings,? J. Math. Anal. Appl.,35, No. 3, 536?552 (1971). · Zbl 0215.21304 · doi:10.1016/0022-247X(71)90201-0
[201] P. M. Fitzpatrick, ?On the structure of the set of equations involving A-proper mappings,? Trans. Am. Math. Soc.,189, 107?131 (1974). · Zbl 0293.47020
[202] P. M. Fitzpatrick, ?Existence results for equations involving noncompact perturbations of Fredholm mappings with applications to differential equations,? J. Math. Anal. Appl.,66, No. 1, 151?177 (1978). · Zbl 0404.47034 · doi:10.1016/0022-247X(78)90275-5
[203] P. M. Fitzpatrick and W. V. Petryshyn, ?Fixed point theorems for multivalued noncompact acyclic mappings,? Pacific J. Math.,54, No. 2, 17?23 (1974). · Zbl 0312.47047 · doi:10.2140/pjm.1974.54.17
[204] P. M. Fitzpatrick and W. V. Petryshyn, ?Fixed point theorems and the fixed point index for multivalued mappings in cones,? J. London Math. Soc.,12, No. 1, 75?85 (1975). · Zbl 0329.47022 · doi:10.1112/jlms/s2-12.1.75
[205] P. M. Fitzpatrick and W. V. Petryshyn, ?Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators,? J. Different. Equat.,22, No. 2, 428?441 (1976). · Zbl 0352.47028 · doi:10.1016/0022-0396(76)90038-3
[206] P. M. Fitzpatrick and W. V. Petryshyn, ?On the nonlinear eigenvalue problem T (u)=?C (u), involving noncompact abstract and differential operators,? Boll. Unione Mat. Ital.,B15, No. 1, 80?107 (1978). · Zbl 0386.47033
[207] G. Fournier and H.-O. Peitgen, ?Leray endomorphisms and cone maps,? Ann. Scu. Norm. Super. Pisa. Cl. Sci., No. 1, 149?179 (1978). · Zbl 0394.55001
[208] B. Fuchssteiner, ?Iterations and fixed points,? Pacific J. Math.,68, No. 1, 73?80 (1977). · Zbl 0339.26007 · doi:10.2140/pjm.1977.68.73
[209] M. Furi and M. Martelli, ?Lefschetz type theorem for the minimal displacement of points under maps defined on a class of ANR’s,? Boll. Unione Mat. Ital.,10, No. 1, 174?181 (1974). · Zbl 0304.47051
[210] M. Furi and M. Martelli, ?A characterization of compact filter basis in complete metric spaces,? Rend. Ist. Mat. Univ. Trieste,2, No. 2, 109?113 (1970). · Zbl 0205.27005
[211] M. Furi and M. Martelli, ?On the minimal displacement of points under?-Lipschitz maps in normed spaces,? Boll. Unione Mat. Ital.,9, No. 3, 791?799 (1974). · Zbl 0304.47050
[212] M. Furi and M. Martelli, ?On?-Lipschitz retractions of the unit closed ball onto its boundary,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,57, Nos. 1?2, 61?65 [1974(1975)]. · Zbl 0342.47033
[213] M. Furi, M. Martelli, and A. Vignoli, ?Contributions to the spectral theory for nonlinear operators on Banach spaces,? 1st. Mat., Univ. dell’Aquila, Preprint No. 5 (1977). · Zbl 0409.47043
[214] M. Furi and A. Vignoli, ?A fixed point theorem in complete metric spaces,? Boll. Unione Mat. Ital.,2, Nos. 4?5, 505?509 (1969). · Zbl 0183.51404
[215] M. Furi and A. Vignoli, ?Fixed points for densifying mappings,? Atti Accad. Naz. Lincei Cl. Sci. Fis., Mat. Natur. Rend.,47, No. 6, 465?467 [1969(1979)]. · Zbl 0193.51402
[216] M. Furi and A. Vignoli, ?On a property of the unit sphere in a linear normed space,? Bull. Acad. Sci. Ser. Math., Astron. Phys.,18, No. 6, 333?334 (1970). · Zbl 0194.43501
[217] M. Furi and A. Vignoli, ?On?-nonexpansive mappings and fixed points,? Atti. Accad. Naz. Lincei. Cl. Sci. Fis. Mat. Natur. Rend.,48, No. 2, 195?198 (1970). · Zbl 0197.11806
[218] M. Furi and A. Vignoli, ?On surjectivity for nonlinear maps in Banach spaces,? Ann. Mat. Pura Appl.,112, 205?216 (1977). · Zbl 0349.47050 · doi:10.1007/BF02413482
[219] R. E. Gaines and J. L. Mawhin, ?Coincidence degree and nonlinear differential equations,? Lect. Notes Math.,568 (1977).
[220] J. A. Gatica, ?Fixed point theorems for k-set-contractions and pseudocontractive mappings,? J. Math. Anal. Appl.,46, No. 3, 555?564 (1974). · Zbl 0277.47035 · doi:10.1016/0022-247X(74)90262-5
[221] J. A. Gatica and W. A. Kirk, ?Fixed point theorems for Lipschitzian pseudo-contractive mappings,? Proc. Am. Math. Soc.,36, No. 1, 111?115 (1972). · Zbl 0254.47076 · doi:10.1090/S0002-9939-1972-0306993-8
[222] J. A. Gatica and W. A. Kirk, ?A fixed point theorem for k-set-contractions defined in a cone,? Pacific J. Math.,53, No. 1, 131?136 (1974). · Zbl 0256.47046 · doi:10.2140/pjm.1974.53.131
[223] K. Georg, ?On surjectivity of quasibounded nonlinear?-Lipschitz maps,? Boll. Unione Mat. Ital.,13A, No. 1, 117?122 (1976). · Zbl 0346.47048
[224] O. Had?i?, ?Existence of the solution of the equation x=G(x, S(x)) in locally convex spaces,? Math. Balkan,3, 118?123 (1973).
[225] O. Hadzic, ?Existence theorems for the system x=H(x, y), y=K(x, y) in locally convex spaces,? Publs. Inst. Math.,16, 65?73 (1973).
[226] O. Had?i?, ?Impicit differential equation in locally convex spaces,? Publs. Inst. Math.,19, 67?72 (1975).
[227] O. Had?i?, Osnovij Teoriji Nepokretne Ta?ke, Novi Sad (1978).
[228] O. Had?i?, ?A fixed point theorem for mappings with a?-densifying iteration in locally convex spaces,? Mat. Vestn.,2, No. 2, 105?109 (1978).
[229] O. Had?i? and D. Paunic, ?Theorems on the fixed point for some classes of mappings in locally convex spaces,? Zb. Rad. Prir. Mat. Fak. Gos. Univ. Novom Sadu,6, 25?31 (1976).
[230] S. Hahn, ?Gebietsinvarianzsatz und Eigenwertaussagen für konzentrierende Abbildungen,? Comment. Math. Univ. Carol.,18, No. 4, 697?713 (1977). · Zbl 0375.47029
[231] S. Hahn, ?A remark on a fixed point theorem for condensing set-valued mappings,? Techn. Univ. Dresden, Preprint No. 07-5, 1977.
[232] S. Hahn, ?Ein elementarer Zugang zur Leray-Schauder-Theorie,? Techn. Univ. Dresden, Preprint No. 07-10, 1977. · Zbl 0377.47039
[233] S. Hahn, ?Eine Bemerkung zur Theorie verdichtender Abbildungen,? Wiss. Z. Techn. Univ. Dresden,27, No. 2, 337?340 (1978). · Zbl 0438.47052
[234] S. Hahn, ?Ein elementarer Zugang zur Leray-Schauder-Theorie,? Comment. Math. Univ. Carol.,19, No. 1, 71?87 (1978). · Zbl 0377.47039
[235] S. Hahn, ?Eigenwertaussagen für kompakte kondensierende mengenwertige Abbildungen in topologischen Vektorräumen,? Comment. Math. Univ. Carol.,20, No. 1, 123?141 (1979). · Zbl 0442.47038
[236] J. K. Hale, ?A class of neutral equations with the fixed point property,? Proc. Nat. Acad. Sci. U.S.A.,67, No. 1, 136?137 (1970). · Zbl 0207.45403 · doi:10.1073/pnas.67.1.136
[237] J. K. Hale, ?Oscillations in neutral functional equations,? in: Nonlinear Mech. C.I.M.I. June, 1972, Ediz. Cremonese, Rome (1973), pp. 97?111.
[238] J. K. Hale, ??-contractions and differential equations,? in: Actes Conf. Internat. Equa-Diff73, Hermann, Paris (1973), pp. 15?41.
[239] J. K. Hale, ?Smoothing properties of neutral equations,? An. Acad. Brasil Cienc.,45, No. 1, 71?73 (1973).
[240] J. K. Hale, ?Continuous dependence of fixed points of condensing maps,? J. Math. Anal. Appl.,46, No. 2, 388?394 (1974). · Zbl 0279.47018 · doi:10.1016/0022-247X(74)90248-0
[241] J. K. Hale, ?Functional differential equations with infinite delays,? J. Math. Anal. Appl.,48, No. 1, 276?283 (1974). · Zbl 0289.34107 · doi:10.1016/0022-247X(74)90233-9
[242] J. K. Hale, ?Discrete dissipative processes,? Lect. Notes Math.,564, 207?224 (1976). · Zbl 0349.34040 · doi:10.1007/BFb0087337
[243] J. K. Hale, Theory of Functional Differential Equations, Appl. Math. Sci., Vol. 3 (1977). · Zbl 0352.34001
[244] J. K. Hale and J. Kato, ?Phase space for retarded equations with infinite delay,? Funkc. Ekvacioj,21, No. 1, 11?41 (1978). · Zbl 0383.34055
[245] M. Hegedüs, ?An extension of Krasnoselskii’s fixed-point theorem for multivalued mappings,? Dep. Math. K. Marx Univ. Econ. Budapest (Publ.), No. 3 (1976).
[246] G. Hetzer, ?Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type,? Comment. Math. Univ. Carol.,16, No. 1, 121?138 (1975). · Zbl 0298.47034
[247] G. Hetzer, ?Some remarks on ?+-operators and on the coincidence degree for a Fredholm equation with noncompact nonlinear perturbations,? Ann. Soc. Sci. Bruxelles, Ser. 1,89, No. 4, 497?508 (1975). · Zbl 0316.47041
[248] G. Hetzer, J. Reinermann, and V. Stallbohm, ?Fixpunktsätze von Browder und Krasnoselski für lokalkonvexe Hausdorff-Räume,? Math. Nachr.,57, Nos. 1?6, 227?235 (1973). · Zbl 0232.47064 · doi:10.1002/mana.19730570116
[249] G. Hetzer and V. Stallbohm, ?Coincidence degree and Rabinowitz’s bifurcation theorem,? Publs. Inst. Math.,20, 117?129 (1976). · Zbl 0343.47041
[250] G. Hetzer and V. Stallbohm, ?Eine Existenzaussage für asymptotische linear Störungen eines Fredholmoperatoren Index 0,? Manuscr. Math.,21, No. 1, 81?100 (1977). · Zbl 0362.47027 · doi:10.1007/BF01176903
[251] C. J. Himmelberg, J. R. Porter, and F. S. van Vleck, ?Fixed point theorems for condensing multifunctions,? Proc. Am. Math. Soc.,23, No. 3, 635?641 (1969). · Zbl 0195.14902 · doi:10.1090/S0002-9939-1969-0246175-1
[252] C. J. Himmelberg and F. S. van Vleck, ?Fixed points of semicondensing multifunctions,? Boll. Unione Mat. Ital.,5, No. 2, 187?194 (1972). · Zbl 0249.47049
[253] K. Iseki, ?A generalization of Petryshyn-Riggio-Singh’s theorem,? Math. Semin. Notes. Kobe Univ.,2, No. 2, var. pag., 1?3 (1974). · Zbl 0303.47037
[254] K. Iseki, ?Fixed point theorems for densifying mappings,? Nanta Math.,9, No. 1, 50?53 (1976). · Zbl 0351.54039
[255] A. Istratescu and V. Istratescu, ?A generalization of collectively compact sets of operators. I,? Rev. Roum. Math. Pures Appl.,17, No. 1, 33?37 (1972). · Zbl 0239.47040
[256] A. Istratescu and V. Istratescu, ?On the existence of a solution of f(x)=kx for a continuous not necessarily linear operator,? Proc. Am. Math. Soc.,48, No. 1, 197?198 (1975). · Zbl 0302.47042
[257] I. Istratescu, ?On some classes of contractions,? Atti. Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,50, No. 6, 679?681 (1971). · Zbl 0243.47030
[258] I. Istratescu, ?Some spectral properties for the I-contraction operators,? Math. Balkan., No. 4, 267?269 (1974). · Zbl 0308.47044
[259] V. Istratescu, ?Capitole de analiza neliniara,? Gar. Mat. (RSR),A77, No. 10, 372?377 (1972).
[260] V. Istratescu, ?On a measure of noncompactness,? Bull. Math. Soc. Sci. Math. RSR,16, No. 2, 195?197 [1972(1973)]. · Zbl 0278.54031
[261] V. Istratescu, Introducere in Teoria Punctelor Fixe, Acad. RSR, Bucuresti (1974). · Zbl 0261.47033
[262] V. Istratescu, ?On a class of operators and ergodic theory. I,? Rev. Roum. Math. Pure Appl.,19, No. 4, 411?420 (1974). · Zbl 0311.47027
[263] V. Istratescu and A. Istratescu, ?On the theory of fixed points for some classes of mappings. III,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,49, Nos. 1?2, 43?46 (1970). · Zbl 0188.19702
[264] V. Istratescu and A. Istratescu, ?On the theory of fixed points for some classes of mappings,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,51, Nos. 3?4, 162?167 (1971). · Zbl 0243.47030
[265] V. Istratescu and A. Istratescu, ?On the theory of fixed points for some classes of mappings. II,? Rev. Roum. Math. Pures Appl.,16, No. 7, 1073?1075 (1971). · Zbl 0239.47041
[266] V. Istratescu and A. Istratescu, ?On the theory of fixed points for some classes of mappings. I,? Bull. Math. Soc. Sci. Math. RSR,14, No. 4, 420?426 [1970(1972)]. · Zbl 0239.47040
[267] V. Istratescu and A. Istratescu, ?On the theory of fixed points for some classes of mappings,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,52, No. 6, 871?874 (1972). · Zbl 0239.47041
[268] V. Istratescu and A. Istratescu, ?On some results on locally power?-set contractions. III,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,56, No. 2, 197?200 (1974). · Zbl 0299.47037
[269] S. Itoh and W. Takahashi, ?Single-valued mappings, multivalued mappings and fixed-point theorems,? J. Math. Anal. Appl.,59, No. 3, 514?521 (1977). · Zbl 0351.47040 · doi:10.1016/0022-247X(77)90078-6
[270] A. F. Izé and J. G. dos Reis, ?Contributions to stability of neutral functional differential equations,? J. Different. Equat.,29, No. 1, 58?65 (1978). · Zbl 0385.34037 · doi:10.1016/0022-0396(78)90040-2
[271] R. Janicka, ?An existence theorem for an integrodifferential equation of neutral type,? Ann. UMCS,A28, No. 3, 28?29 (1974). · Zbl 0397.47037
[272] G. S. Jones, ?Asymptotic fixed point heory,? Ann. Math. Stud., No. 69, 177?184 (1972).
[273] G. S. Jones, ?A functional approach to fixed point analysis of noncompact operators,? Math. Syst. Theory,6, No. 4, 375?382 (1973). · Zbl 0265.54047 · doi:10.1007/BF01843494
[274] R. K. Juberg, ?Measure of noncompactness and interpolation of compactness for a class of integral transformations,? Duke Math. J.,41, No. 3, 511?525 (1974). · Zbl 0291.47027 · doi:10.1215/S0012-7094-74-04156-8
[275] R. K. Juberg, ?The measure of noncompactness in Lp for a class of integral operators,? Indiana Univ. Math. J.,23, No. 10, 925?936 (1974). · Zbl 0283.47032 · doi:10.1512/iumj.1974.23.23075
[276] G. Kayser, ?Ein Fixpunktsatz für konzentrierende Abbildungen in lokalkonvexen Räumen,? Wiss. Z. Techn. Univ. Dresden,23, No. 1, 145?151 (1974). · Zbl 0285.47042
[277] G. Kayser, ?A fixed point theorem for noncompact setvalued mappings,? Abh. Akad. Wiss. DDR, No. 3, 407?411 (1977). · Zbl 0356.47029
[278] W. A. Kirk, ?A remark on condensing mappings,? J. Math. Anal. Appl.,51, No. 3, 629?632 (1975). · Zbl 0319.47031 · doi:10.1016/0022-247X(75)90113-4
[279] M. Kisieliwicz, ?Fixed point theorem for multivalued noncompact mappings,? Zesz. Nauk. WSI Zielonej Gorze, No. 31, 5?7 (1975).
[280] C. Kuratowski, ?Sur les espaces complets,? Fund. Math.,15, 301?309 (1930). · JFM 56.1124.04
[281] C. Kuratowski, Topology, Vol. 1, Academic Press, New York-Warszawa, PWN (1966).
[282] A. Lebow and M. Schechter, ?Semigroups of operators and measures of noncompactness,? J. Funct. Anal.,7, No. 1, 1?26 (1971). · Zbl 0209.45002 · doi:10.1016/0022-1236(71)90041-3
[283] S. Leela and V. Moaurdo, ?Existence of solutions in a closed set for delay differential equations in Banach spaces,? Nonlinear Anal.: Theory. Math. Appl.,2, No. 1, 47?58 (1978). · Zbl 0383.34053 · doi:10.1016/0362-546X(78)90040-8
[284] R. Leggett, ?Remarks on set-contractions and condensing maps,? Math. Z.,132, No. 4, 361?366 (1973). · Zbl 0266.47008 · doi:10.1007/BF01179741
[285] R. Leggett, ?A note on ?locally??-contracting linear operators,? Bull. Unione Mat. Ital.,12, Nos. 1?2, 124?126 (1975). · Zbl 0314.47016
[286] G. Mancini, ?Rami di soluzioni positive per operatori non compatti,? Boll. Unione Mat. Ital.,B14, No. 1, 42?58 (1977). · Zbl 0354.47026
[287] M. Martelli, ?A lemma on maps of a compact topological space and an application to fixed point theory,? Ist. Mat. Ulisse Dini, Univ. Studi Firenze, Preprint, 1970. · Zbl 0214.21601
[288] M. Martelli and A. Vignoli, ?Eigen-vectors and surjectivity for?-Lipschitz mappings in Banach spaces,? Ann. Mat. Pura Appl.,94, 1?9 (1972). · Zbl 0277.47039 · doi:10.1007/BF02413598
[289] M. Martelli and A. Vignoli, ?Some surjectivity results for noncompact multivalued maps,? Rend. Acad. Sci. Fis. Mat. Soc. Naz. Sci. Lett. Arti Napoli,41, 57?66 (1974). · Zbl 0388.47035
[290] M. Martelli and A. Vignoli, ?A generalized Leray-Schauder condition,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,57, No. 5, 374?379 [1974(1975)]. · Zbl 0326.47054
[291] S. Massa and D. Roux, ?Applicazioni densificanti e teoremi di punto unito,? Boll. Unione Mat. Ital.,4, No. 6, 835?840 (1971). · Zbl 0253.54041
[292] I. Massabo, ?On the construction of fixed-points for a class of nonlinear mappings,? Boll. Unione Mat. Ital.,10, No. 2, 512?528 (1974).
[293] I. Massabo and P. Nistri, ?A topological degree for multivalued A-proper maps in Banach spaces,? Boll. Unione Mat. Ital.,B13, No. 3, 672?685 (1976).
[294] I. Massabo and C. Stuart, ?Positive eigenvectors of k-set contractions,? Nonlinear Anal.: Theory, Meth. Appl.,3, No. 1, 35?44 (1979). · Zbl 0422.47030 · doi:10.1016/0362-546X(79)90031-2
[295] P. S. Milojevi?, ?Some generalizations of the first Fredholm theorem to multivalued condensing and A-proper mappings,? Boll. Unione Mat. Ital.,B13, No. 3, 619?633 (1976).
[296] P. S. Milojevi?, ?Some generalizations of the first Fredholm theorem to multivalued A-proper mappings with applications to nonlinear elliptic equations,? J. Math. Anal. Appl.,65, No. 2, 468?502 (1978). · Zbl 0389.47029 · doi:10.1016/0022-247X(78)90193-2
[297] P. S. Milojevi?, ?Fixed point theorem for multivalued approximable mappings,? Proc. Am. Math. Soc.,73, No. 1, 65?72 (1979). · doi:10.1090/S0002-9939-1979-0512060-7
[298] P. S. Milojevi? and W. V. Petryshyn, ?Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings,? J. Math. Anal. Appl.,60, No. 3, 658?692 (1977). · Zbl 0367.47032 · doi:10.1016/0022-247X(77)90007-5
[299] P. S. Milojevi? and W. V. Petryshyn, ?Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications,? J. Math. Anal. Appl.,62, No. 2, 368?400 (1978). · Zbl 0373.47029 · doi:10.1016/0022-247X(78)90134-8
[300] H. Mönch and G. -F. von Harten, ?The product formula for the topological degree of strict?-contractions,? Manuscr. Math.,23, No. 2, 113?123 (1978). · Zbl 0366.47030 · doi:10.1007/BF01180566
[301] M. Montagnana and A. Vignoli, ?On quasiconvex mappings and fixed point theorems,? Boll. Unione Mat. Ital.,4, No. 6, 870?878 (1971). · Zbl 0232.47063
[302] R. H. Moore and M. Z. Nashed, ?Local and asymptotic approximations of nonlinear operators by (k1,..., kn)-homogeneous operators,? Trans. Am. Math. Soc.,118, Apr., 293?305 (1973).
[303] R. D. Nussbaum, ?The fixed point index and fixed point theorems for k-set-contractions,? Ph. D. Dissertation, Univ. of Chicago (1969). · Zbl 0174.45402
[304] R. D. Nussbaum, ?The fixed point index and asymptotic fixed point theorems for k-set-contractions,? Bull. Am. Math. Soc.,75, No. 3, 490?495 (1969). · Zbl 0174.45402 · doi:10.1090/S0002-9904-1969-12213-5
[305] R. D. Nussbaum, ?The radius of the essential spectrum,? Duke Math. J.,37, No. 3, 473?478 (1970). · Zbl 0216.41602 · doi:10.1215/S0012-7094-70-03759-2
[306] R. D. Nussbaum, ?Asymptotic fixed point theorems for local condensing maps,? Math. Ann.,191, No. 3, 181?195 (1971). · Zbl 0202.54004 · doi:10.1007/BF01578707
[307] R. D. Nussbaum, ?Estimates for the number of solutions of operator equations,? Appl. Anal.,1, No. 2, 183?200 (1971). · Zbl 0235.47035 · doi:10.1080/00036817108839013
[308] R. D. Nussbaum, ?Some fixed point theorems,? Bull. Am. Math. Soc.,77, No. 3, 360?365 (1971). · Zbl 0212.16502 · doi:10.1090/S0002-9904-1971-12694-0
[309] R. D. Nussbaum, ?The fixed point index for local condensing maps,? Ann. Mat. Pura Appl.,89, 217?258 (1971). · Zbl 0226.47031 · doi:10.1007/BF02414948
[310] R. D. Nussbaum, ?Degree theory for local condensing maps,? J. Math. Anal. Appl.,37, No. 3, 741?766 (1972). · Zbl 0232.47062 · doi:10.1016/0022-247X(72)90253-3
[311] R. D. Nussbaum, ?Existence and uniqueness theorems for some functional differential equations of neutral type,? J. Different. Equat.,11, No. 3, 607?623 (1972). · Zbl 0263.34070 · doi:10.1016/0022-0396(72)90070-8
[312] R. D. Nussbaum, ?Some asymptotic fixed point theorems,? Trans. Am. Math. Soc.,171, Sept., 349?375 (1972). · Zbl 0256.47040 · doi:10.1090/S0002-9947-1972-0310719-6
[313] R. D. Nussbaum, ?A generalization of the Ascoli theorem and an application to functional differential equations,? J. Math. Anal. Appl.,35, No. 3, 600?610 (1971). · Zbl 0215.19501 · doi:10.1016/0022-247X(71)90207-1
[314] R. D. Nussbaum, ?Periodic solutions of autonomous functional differential equations,? Bull. Am. Math. Soc.,79, No. 4, 811?814 (1973). · Zbl 0293.34104 · doi:10.1090/S0002-9904-1973-13330-0
[315] R. D. Nussbaum, ?Periodic solutions of some nonlinear autonomous functional differential equations, II,? J. Different. Equat.,14, No. 2, 360?394 (1973). · Zbl 0311.34087 · doi:10.1016/0022-0396(73)90053-3
[316] R. D. Nussbaum, ?On the uniqueness of the topological degree for k-set-contractions,? Math. Z.,137, No. 1, 1?6 (1974). · Zbl 0268.55009 · doi:10.1007/BF01213930
[317] R. D. Nussbaum, ?Periodic solutions of some nonlinear autonomous functional differential equations,? Ann. Mat. Pura Appl.,101, 263?306 (1974). · Zbl 0323.34061 · doi:10.1007/BF02417109
[318] R. D. Nussbaum, ?Generalizing the fixed point index,? Math. Ann.,228, No. 3, 259?278 (1977). · Zbl 0365.58005 · doi:10.1007/BF01420294
[319] T. O’Neil and J. W. Thomas, ?On the equivalence of multiplicity and the generalized topological degree,? Trans. Am. Math. Soc.,167, May, 333?345 (1972). · Zbl 0217.19803 · doi:10.2307/1996143
[320] E. de Pascale and R. Guzzardi, ?On boundary conditions and fixed points for?-non expansive multivalued mappings,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,58, No. 3, 300?305(1975). · Zbl 0334.47038
[321] E. de Pascale and R. Guzzardi, ?On the boundary values dependence for the topological degree of multivalued noncompact maps,? Boll. Unione Mat. Ital.,13A, No. 1, 110?116 (1976). · Zbl 0347.55005
[322] J. Jejsachowicz and A. Vignoli, ?On differentiability and surjectivity of?-Lipschitz mappings,? Ann. Mat. Pura Appl.,101, 49?63 (1974). · Zbl 0297.47058 · doi:10.1007/BF02417098
[323] W. V. Petryshyn, ?Structure of fixed-points sets of k-set-contractions,? Arch. Ration. Mech. Anal.,40, No. 4, 312?328 (1971). · Zbl 0218.47028 · doi:10.1007/BF00252680
[324] W. V. Petryshyn, ?A new fixed point theorem and its application,? Bull. Am. Math. Soc.,78, No. 2, 225?229 (1972). · Zbl 0231.47030 · doi:10.1090/S0002-9904-1972-12930-6
[325] W. V. Petryshyn, ?Note on the structure of fixed point sets of 1-set-contractions,? Proc. Am. Math. Soc.,31, No. 1, 189?194 (1972). · Zbl 0231.47031
[326] W. V. Petryshyn, ?Remarks on condensing and k-set-contractive mappings,? J. Math. Anal. Appl.,39, No. 3, 717?741 (1972). · Zbl 0238.47041 · doi:10.1016/0022-247X(72)90194-1
[327] W. V. Petryshyn, ?Fixed point theorems for various classes of 1-set-contractive and 1-ball-contractive mappings in Banach spaces,? Trans. Am. Math. Soc.,182, Aug., 323?352 (1973). · Zbl 0277.47033
[328] W. V. Petryshyn, ?Fredholm alternative for nonlinear k-ball-contractive mappings with applications,? J. Different. Equat.,17, No. 1, 82?95 (1975). · Zbl 0292.47057 · doi:10.1016/0022-0396(75)90036-4
[329] W. V. Petryshyn, ?Note on the solvability of equations involving unbounded linear and quasibounded non-linear operators,? J. Math. Anal. Appl.,56, No. 3, 495?501 (1976). · Zbl 0352.47029 · doi:10.1016/0022-247X(76)90021-4
[330] W. V. Petryshyn, ?Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications to differential equations,? J. Different. Equat.,28, No. 1, 124?154 (1978). · Zbl 0392.47036 · doi:10.1016/0022-0396(78)90082-7
[331] W. V. Petryshyn and P. M. Fitzpatrick, ?Degree theory for noncompact multivalued vector fields,? Bull. Am. Math. Soc.,79, No. 3, 609?613 (1973). · Zbl 0267.47033 · doi:10.1090/S0002-9904-1973-13226-4
[332] W. V. Petryshyn and P. M. Fitzpatrick, ?On 1-set and 1-ball contractions with application to perturbation problems for nonlinear bijective maps and linear Fredholm maps,? Bull. Unione Mat. Ital.,7, No. 1, 102?124 (1973). · Zbl 0266.47057
[333] W. V. Petryshyn and P. M. Fitzpatrick, ?A degree theory, fixed point theorems, and mappings theorems for multivalued noncompact mappings,? Trans. Amer. Math. Soc.,194, 1?25 (1974). · Zbl 0297.47049 · doi:10.1090/S0002-9947-1974-2478129-5
[334] W. V. Petryshyn and P. M. Fitzpatrick, ?Fixed-point theorems for multivalued noncompaet inward maps,? J. Math. Anal. Appl.,46, No. 3, 756?767 (1974). · Zbl 0287.47038 · doi:10.1016/0022-247X(74)90271-6
[335] W. V. Petryshyn and T. E. Williamson, Jr., ?Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings,? J. Math. Anal. Appl.,43, No. 2, 459?497 (1973). · Zbl 0262.47038 · doi:10.1016/0022-247X(73)90087-5
[336] G. Pianigiani, ?Existence of solutions for ordinary differential equations in Banach spaces,? Bull. Acad. Pol. Sci., Ser. Sci. Math., Astron., Phys.,23, No. 8, 853?857 (1975). · Zbl 0317.34050
[337] A. J. B. Potter, ?Non-linear A-proper mappings of the analytic type,? Can. J. Math.,25, No. 3, 468?474 (1973). · Zbl 0259.47049 · doi:10.4153/CJM-1973-047-2
[338] A. J. B. Potter, ?A fixed point theorem for positive k-set contractions,? Proc. Edinburgh Math. Soc.,19, No. 1, 93?102 (1974). · Zbl 0275.47039 · doi:10.1017/S001309150001542X
[339] B. K. Ray, ?On common fixed points. III,? Indian J. Pure Appl. Math.,6, No. 11, 1256?1260 (1975).
[340] B. K. Ray and H. Chatterjee, ?On some results on fixed points in metric and Banach spaces,? Indian J. Pure Appl. Math.,8, No. 8, 955?960 (1977). · Zbl 0396.54040
[341] B. K. Ray and H. Chatterjee, ?Some results on fixed points in metric and Banach spaces,? Bull. Acad. Pol. Sci. Ser. Sci. Math., Astron. Phys.,25, No. 12, 1243?1247 (1977). · Zbl 0396.54039
[342] B. K. Ray and S. P. Singh, ?Fixed point theorems in Banach spaces,? Indian J. Pure Appl. Math.,9, No. 3, 216?221 (1978). · Zbl 0411.47036
[343] S. Reich, ?A fixed point theorem,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,51, Nos. 1?2, 26?28 (1971).
[344] S. Reich, ?Characteristic vectors of nonlinear operators,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,50, No. 6, 682?685 (1971).
[345] S. Reich, ?Fixed points in locally convex spaces,? Math. Z.,125, No. 1, 17?31 (1972). · Zbl 0216.17302 · doi:10.1007/BF01111112
[346] S. Reich, ?Fixed points of condensing functions,? J. Math. Anal. Appl.,41, No. 2, 460?467 (1973). · Zbl 0252.47062 · doi:10.1016/0022-247X(73)90220-5
[347] S. Reich, ?A remark on set-valued mappings that satisfy the Leray-Schauder condition,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,61, Nos. 3?4, 193?194 [1976(1977)].
[348] S. Reich, ?A minimal displacement problem,? Comment. Math. Univ. St. Pauli,26, No. 2, 131?135 (1978). · Zbl 0385.47042
[349] S. Reich, ?Constructing zeros of accretive operators,? Appl. Anal.,8, No. 4, 349?352 (1979). · Zbl 0408.47048 · doi:10.1080/00036817908839243
[350] J. Reinermann, ?Fortsetzung stetiger Abbildungen in Banach-Räumen und Anwendungen in der Fixpunkttheorie,? Ber. Ges. Math. Datenverarb., No. 57, 135?145 (1972). · Zbl 0239.47037
[351] J. Reinermann, ?Neue Existenz-und Konvergenzsätze in der Fixpunkttheorie nichtlinearer Operatoren,? J. Approxim. Theory,8, No. 4, 387?399 (1973). · Zbl 0276.47048 · doi:10.1016/0021-9045(73)90006-3
[352] J. Reinermann and V. Stallbohm, ?Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication),? Comment. Math. Univ. Carol.,15, No. 4, 775?779 (1974). · Zbl 0295.47056
[353] J. Reinermann and V. Stallbohm, ?Fixed point theorems for compact and nonexpansive mappings on starshaped domains,? Math. Balkan., No. 4, 511?516 (1974). · Zbl 0295.47056
[354] T. Riedrich, ?Nonlinear operator equations in topological vector spaces,? Techn. Univ. Dresden, Preprint No. 07-04, 1975.
[355] T. Riedrich, Vorlesungen über nichtlineare Operatorengleichungen, Leipzig (1976). · Zbl 0332.47026
[356] A. M. Rossi and P. Sambucetti, ?Sulla compattezza negli spazi Lp,? Pubbl. Ist. Mat. Univ. Genova, No. 258 (1978).
[357] E. H. Rothe, ?Expository introduction to some aspects of degree theory,? in: Nonlinear Funct. Anal. Different. Equations, New York-Basel (1976), pp. 291?317.
[358] B. Rzepecki, ?On the method of Euler polygons for the differential equation in a locally convex space,? Bull. Acad. Pol. Sci. Ser. Sci. Math., Astron. Phys.,23, No. 4, 411?414 (1975). · Zbl 0315.34078
[359] B. Rzepecki, ?Measure of noncompactness and Krasnoselskii’s fixed point theorem,? Bull. Acad. Pol. Sci. Ser. Sci. Math., Astron. Phys.,24, No. 10, 861?866 (1976). · Zbl 0341.47039
[360] B. Rzepecki, ?A functional differential equation in Banach space. I,? Funct. Approxim.,5, 13?23 (1977).
[361] R. Schöneberg, ?On the structure of fixed point sets of pseudocontractive mappings,? Comment. Math. Univ. Carol.,17, No. 4, 771?777 (1976).
[362] R. Schöneberg, ?On the structure of fixed point sets of pseudocontractive mappings, II,? Comment. Math. Univ. Carol.,18, No. 2, 299?310 (1977).
[363] R. Schöneberg, ?Leray-Schauder principles for condensing multivalued mappings in topological linear spaces,? Proc. Am. Math. Soc.,72, No. 2, 268?270 (1978). · Zbl 0402.47033 · doi:10.2307/2042788
[364] R. Schöneberg, ?A note on connection properties of fixed point sets of nonexpansive mappings,? Math. Nachr.,83, 247?253 (1978). · Zbl 0319.47032 · doi:10.1002/mana.19780830120
[365] V. M. Sehgal, ?A fixed point theorem for a family of nonexpansive mappings,? Bull. Austral. Math. Soc.,15, No. 1, 111?116 (1976). · Zbl 0328.47030 · doi:10.1017/S0004972700036819
[366] G. R. Sell, ?A characterization of smooth?-Lipschitz mappings on a Hilbert space,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,52, No. 5, 668?674 (1972). · Zbl 0254.47088
[367] K. L. Singh, ?Fixed point theorems for densifying maps. I,? Math. Stud.,40, 283?288 [1972(1974)]. · Zbl 0338.47028
[368] K. L. Singh, ?Some applications of Darbo’s theorem,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,58, No. 6, 880?886 (1975).
[369] K. L. Singh, ?Eignevalues of densifying mappings,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,59, Nos. 1?2, 34?39 [1975(1976)].
[370] K. L. Singh, ?Some applications of Darbo’s theorem,? Bull. Math. Soc. Sci. Math. RSR,19, Nos. 1?2, 181?187 [1975(1976)]. · Zbl 0342.47034
[371] K. L. Singh, ?Some applications of Kuratowski’s measure of noncompactness,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,60, No. 4, 422?432 (1976).
[372] K. L. Singh, ?Two theorems characterizing increasing k-set contraction mappings,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,59, No. 6, 749?757 [1975(1976)].
[373] K. L. Singh, ?A note on the spectra of uniformly increasing densifying mappings,? Bull. Acad. Pol. Sci. Ser. Sci. Math., Astron. Phys.,24, No. 11, 969?972 [1976(1977)].
[374] K. L. Singh, ?Convergence of sequence of iterates of generalized contractions,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Nat. Natur. Rend.,62, No. 2, 154?159 (1977).
[375] K. L. Singh, ?Solvability of linear and nonlinear operator equations involving densifying mappings,? Bull. Math. Soc. Sci. Math. RSR,20, Nos. 3?4, 403?414 [1976(1977)].
[376] K. L. Singh, ?A fixed point theorem for multivalued densifying mappings,? Mathematica (RSR),20, No. 1, 71?75 (1978). · Zbl 0424.47038
[377] K. L. Singh, ?Construction of fixed points for densifying mappings,? Riv. Mat. Univ. Parma,4, 55?62 (1978). · Zbl 0423.47031
[378] S. P. Singh, ?Fixed point theorems for a sum of nonlinear operators,? Atti Accad. Naz. Lincei, Cl. Sci. Fis., Mat. Natur. Rend.,54, No. 4, 558?561 (1973).
[379] S. P. Singh, ?On a theorem of Reinermann,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,54, No. 1, 46?48 (1973).
[380] S. P. Singh, ?On the convergence of iterates,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,57, No. 6, 502?505 [1974(1975)].
[381] S. P. Singh and B. J. Holden, ?Some fixed point theorems,? Bull. Soc. R. Sci. Liege,41, Nos. 9?10, 458?461 (1972). · Zbl 0249.47051
[382] S. P. Singh and M. I. Riggio, ?On a theorem of J. B. Diaz and F. T. Metcalf,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,53, Nos. 3?4, 246?249 [1972(1973)].
[383] S. P. Singh and M. Veitch, ?Fixed point theorems for mappings with a convexity condition,? Math. Stud.,40, 279?282 [1972(1974)]. · Zbl 0336.47030
[384] S. P. Singh and R. K. Yadav, ?On the convergence of the sequence of iterates,? Ann. Soc. Sci. Bruxelles., Ser. I,87, No. 3, 279?284 (1973). · Zbl 0268.47061
[385] S. P. Singh and F. Zorzitto, ?On fixed point theorems in metric spaces,? Ann. Soc. Sci. Bruxelles., Ser. I,85, No. 2, 117?123 (1971). · Zbl 0217.48501
[386] D. R. Smart, Fixed Point Theorems, Cambridge University Press, London (1974). · Zbl 0297.47042
[387] S. Srivastava and K. L. Singh, ?Construction of fixed point for densifying maps,? Riv. Mat. Univ. Parma,2, No. 4, 147?153 (1976).
[388] H. Steinlein, ?Über die verallgemeinerten Fixpunktindizes von iterierten verdichtender Abbildungen,? Manuscr. Math.,8, No. 3, 251?266 (1973). · Zbl 0252.47065 · doi:10.1007/BF01297690
[389] H. Steinlein, ?An approximation method in asymptotic fixed point theory,? Math. Ann.,211, No. 3, 199?218 (1974). · Zbl 0275.47040 · doi:10.1007/BF01350712
[390] C. A. Stuart, ?Self-adjoint square roots of positive self-adjoint bounded linear operators,? Proc. Edinburgh Math. Soc.,18, No. 1, 77?99 (1972). · Zbl 0248.47024 · doi:10.1017/S001309150002616X
[391] C. A. Stuart, ?The fixed point index of a differentiable (?) k-set contraction,? J. London Math. Soc.,5, No. 4, 691?696 (1972). · Zbl 0248.47030 · doi:10.1112/jlms/s2-5.4.691
[392] C. A. Stuart, ?The measure on non-compactness of some linear integral operators,? Proc. R. Soc. Edinburgh,A71, No. 2, 167?179 (1973). · Zbl 0314.47029
[393] C. A. Stuart, ?Some bifurcation theory for k-set contractions,? Proc. London Math. Soc.,27, Part 3, 531?550 (1973). · Zbl 0268.47064 · doi:10.1112/plms/s3-27.3.531
[394] C. A. Stuart, ?The principal component of solutions for nonlinear eigenvalue problems,? Boll. Unione Mat. Ital.,B13, No. 3, 726?742 (1976). · Zbl 0345.47046
[395] C. A. Stuart and J. F. Toland, ?The fixed point index of a linear k-set contraction,? J. London Math. Soc.,6, No. 2, 317?320 (1973). · Zbl 0252.47064 · doi:10.1112/jlms/s2-6.2.317
[396] C. H. Su and V. M. Sehgal, ?Some fixed point theorems for condensing multifunctions in locally convex spaces,? Proc. Am. Math. Soc.,50, 150?154 (1975). · Zbl 0326.47056 · doi:10.1090/S0002-9939-1975-0380530-7
[397] S. Szufla, ?Some remarks on ordinary differential equations in Banach spaces,? Bull. Acad. Polon. Sci. Ser. Sci. Math., Astron. Phys.,16, No. 10, 795?800 (1968). · Zbl 0177.18902
[398] S. Szufla, ?On the existence of solutions of an ordinary differential equation in the case of Banach space,? Bull. Acad. Polon. Sci. Ser. Sci. Math., Astron. Phys.,16, No. 4, 311?315 (1968). · Zbl 0169.18703
[399] S. Szufla, ?Measure of non-compactness and ordinary differential equations in Banach spaces,? Bull. Acad. Pol. Sci. Ser. Sci. Math., Astron. Phys.,19, No. 9, 831?835 (1971). · Zbl 0218.46016
[400] S. Szufla, ?Structure of the solution set of ordinary differential equations in Banach space,? Bull. Acad. Pol. Sci. Ser. Sci. Math., Astron. Phys.,21, No. 2, 141?144 (1973). · Zbl 0257.34064
[401] S. Szufla, ?On the structure of solutions sets of differential and integral equations in Banach spaces,? Ann. Pol. Math.,34, No. 2, 165?177 (1977). · Zbl 0384.34038
[402] S. Szufla, ?On the existence of solutions of ordinary differential equations in Banach spaces,? Boll. Unione Mat. Ital.,A15, No. 3, 535?544 (1978). · Zbl 0402.34002
[403] L. A. Talman, ?Fixed points for condensing multifunctions in metric spaces with convex structure,? Kodai Math. Semin. Repts.,29, Nos. 1?2, 62?70 (1977). · Zbl 0423.54039 · doi:10.2996/kmj/1138833572
[404] L. A. Talman, ?A note on Kellogg’s uniqueness theorem for fixed points,? Proc. Am. Math. Soc.,69, No. 2, 248?250 (1978). · Zbl 0404.47029
[405] E. Tarafdar and R. Výborný, ?Fixed point theorems for condensing multivalued mapping on a locally convex topological space,? Bull. Austral. Math. Soc.,12, No. 2, 161?170 (1975). · Zbl 0323.47044 · doi:10.1017/S0004972700023789
[406] J. W. Thomas, ?A bifurcation theorem for k-set-contractions,? Pacific J. Math.,44, No. 2, 749?756 (1973). · Zbl 0257.47034 · doi:10.2140/pjm.1973.44.749
[407] J. W. Thomas, ?The multiplicity of an operator is a special case of the topological degree for k-set contractions,? Duke Math. J.,40, No. 2, 233?240 (1973). · Zbl 0263.47047 · doi:10.1215/S0012-7094-73-04022-2
[408] J. W. Thomas, ?Upper and lower bounds for the number of solutions of functional equations and involving k-set contractions,? Rocky Mountain J. Math.,4, No. 1, 89?94 (1974). · Zbl 0277.47038 · doi:10.1216/RMJ-1974-4-1-89
[409] R. Thompson, ?An invariance property of solutions to second-order differential inequalities in ordered Banach spaces,? SIAM J. Math. Anal.,8, No. 3, 592?603 (1977). · Zbl 0376.34050 · doi:10.1137/0508047
[410] J. F. Toland, ?Global bifurcation for k-set contractions without multiplicity assumptions,? Q. J. Math.,27, No. 106, 199?216 (1976). · Zbl 0331.47031 · doi:10.1093/qmath/27.2.199
[411] G. M. Vainikko, Funktionanalyses der Diskretisierungsmethoden, Teubner Verlagsges., Leipzig (1976). · Zbl 0343.65023
[412] A. Vignoli, ?An intersection theorem in Banach spaces,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,49, Nos. 3?4, 180?183 (1970). · Zbl 0205.41302
[413] A. Vignoli, ?On?-contractions and surjectivity,? Boll. Unione Mat. Ital.,4, No. 3, 446?455 (1971). · Zbl 0225.47027
[414] A. Vignoli, ?On quasibounded and nonlinear functional equations,? Atti Accad. Naz. Lincei. Cl. Sci. Fis. Fis., Mat. Natur. Rend.,50, No. 2, 114?117 (1971). · Zbl 0254.47089
[415] P. Volkmann, ?Über die Existenz von Lösungen der Differentialgleichung u?=f(u) in einer bgeschlossenen menge, wenn f eine k-Mengenkontraktion ist,? Lect. Notes Math.,564, 496?503 (1976). · Zbl 0341.34053 · doi:10.1007/BFb0087367
[416] J. R. L. Webb, ?Fixed point theorems for non-linear semicontractive operators in Banach spaces,? J. London Math. Soc.,1, No. 4, 683?688 (1969). · Zbl 0185.39502 · doi:10.1112/jlms/s2-1.1.683
[417] J. R. L. Webb, ?A fixed point theorem and applications to functional equations in Banach spaces,? Boll. Unione Mat. Ital.,4, No. 5, 775?788 (1971). · Zbl 0224.47037
[418] J. R. L. Webb, ?On a characterisation of k-set contractions,? Atti Accad. Naz. Lincei. Cl. Sci. Fis., Mat. Natur. Rend.,50, No. 6, 686?689 (1971).
[419] J. R. L. Webb, ?Remarks on k-set-contractions,? Boll. Unione Mat. Ital.,4, No. 4, 614?629 (1971). · Zbl 0219.47058
[420] J. R. L. Webb, ?On degree theory for multivalued mappings and applications,? Boll. Unione Mat. Ital.,9, No. 1, 137?158 (1974). · Zbl 0293.47021
[421] J. R. L. Webb, ?On uniqueness of topological degree for set-valued mappings,? Proc. R. Soc. Edinburgh,A74, 225?229 (1976). · Zbl 0337.55009
[422] R. Wolf, ?Diskret kondensierende Operatorfolgen,? Math. Nachr.,80, 209?223 (1977). · Zbl 0322.65030 · doi:10.1002/mana.19770800116
[423] H. S. F. Wong, ?The topological degree of A-proper maps,? Can. J. Math.,23, No. 3, 403?412 (1971). · Zbl 0215.21303 · doi:10.4153/CJM-1971-042-5
[424] C. Zanco, ?Some remarks on densifying mappings,? Rend. Ist. Lombardo Accad. Sci. Lett.,A111, No. 2, 342?350 (1977). · Zbl 0403.54015
[425] E. Zeidler, ?Zur Eindeutigkeit von Fixpunktindizes für nichtkompakte Operatoren,? Math. Nachr.,72, 51?85 (1976). · Zbl 0327.47024 · doi:10.1002/mana.19760720105
[426] E. Zeidler, Vorlesungen über nichtlineare Funktionalanalysis. I. Fixpunktsätze, Teubner Verlagsges., Leipzig (1976). · Zbl 0326.47053
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