×
De Blasi, F. S.

Some generic properties in fixed point theory. (English) Zbl 0419.47024

J. Math. Anal. Appl. 71, 161-166 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0419.47024

Cited in 9 Documents

MSC:

47H10 Fixed-point theorems
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces

Keywords:

alpha-nonexpansive mappings; fixed points
Cite Review PDF
Full Text: DOI

References:

[1] Browder, F. E., Nonexpansive nonlinear operators in a Banach space, (Proc. Nat. Acad. Sci. USA, 54 (1965)), 1041-1044 · Zbl 0128.35801
[2] Browder, F. E., Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces, (Proc. Symp. Pure Math., Vol. 18 (1976), Amer. Math. Society: Amer. Math. Society Providence, RI), Part 2 · Zbl 0176.45301
[3] Darbo, G., Punti uniti in trasformazioni a codominio non compatto, (Rend. Sem. Mat. Univ. Padova, 24 (1955)), 84-92 · Zbl 0064.35704
[4] De Blasi, F. S.; Myjak, J., Sur la convergence des approximations successives pour les contractions non linéaires dans un espace de Banach, C. R. Acad. Sci. Paris Sér. A-B, 4, 185-188 (1976) · Zbl 0332.47028
[5] De Blasi, F. S.; Kwapisz, M.; Myjak, J., Generic properties of functional equations, Nonlinear Anal., 2, 239-249 (1977) · Zbl 0426.47043
[6] De Blasi, F. S.; Myjak, J., Generic properties of differential equations in a Banach space, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 26, 287-292 (1978) · Zbl 0424.34065
[7] Fan, K., Fixed point and minimax theorems in locally convex topological linear spaces, (Proc. Nat. Acad. Sci. USA, 38 (1952)), 121-126 · Zbl 0047.35103
[8] Gödhe, D., Zum Prinzip der kontraktiven Abbildung, Math. Nachr., 30, 251-258 (1965) · Zbl 0127.08005
[9] Goebel, K., On a fixed point theorem for multivalued nonexpansive mappings, Ann. Univ. Mariae Curie-Skłodowska Sect. A, 29, 69-72 (1975) · Zbl 0365.47032
[10] Kakutani, S., A generalization of Brouwer’s fixed point theorem, Duke Math. J., 8, 457-459 (1941) · JFM 67.0742.03
[11] Kirk, W. A., A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly, 72, 1004-1006 (1965) · Zbl 0141.32402
[12] Kuratowski, K., (Topology, Vol. I (1966), Academic Press: Academic Press New York) · Zbl 0158.40802
[13] Lim, T. C., A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space, Bull. Amer. Math. Soc., 80, 1123-1126 (1974) · Zbl 0297.47045
[14] Markin, J. T., A fixed point theorem for set-valued mappings, Bull. Amer. Math. Soc., 74, 639-640 (1968) · Zbl 0159.19903
[15] Martin, R. H., Nonlinear Operators and Differential Equations in Banach spaces (1976), Wiley-Interscience: Wiley-Interscience New York · Zbl 0333.47023
[16] Nadler, S. B., Multi-valued contraction mappings, Pacific J. Math., 30, 475-488 (1969) · Zbl 0187.45002
[17] Reich, S., The fixed point property for nonexpansive mappings, Amer. Math. Monthly, 83, 266-268 (1976) · Zbl 0336.47033
[18] Vidossich, G., Existence uniqueness and approximation of fixed points as a generic property, Bol. Soc. Brasil. Mat., 5, 17-29 (1974) · Zbl 0349.47042
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.