Found 113 Documents (Results 1–100)
A strong convergence theorem under Halpern’s iteration for generalized nonexpansive mappings in a Banach spaces. (English) Zbl 07620769
Strong convergence theorems for commutative linear contractive mappings in Banach spaces based on nonlinear analytic methods. (English) Zbl 1486.47033
A weak convergence theorem under Mann’s iteration for generalized nonexpansive mappings in a Banach space. (English) Zbl 1492.47086
A viscous iteration process for a finite family of nonexpansive mappings in Banach spaces. (English) Zbl 1484.47175
An intermixed algorithm for two strict pseudocontractions in \(q\)-uniformly smooth Banach space. (English) Zbl 1500.47095
Extensions of Saeidi’s propositions for finding a unique solution of a variational inequality for \((u,v)\)-cocoercive mappings in Banach spaces. (English) Zbl 1412.47075
Strong convergence of an iterative method for nonexpansive mappings in Banach spaces. (English) Zbl 1457.47014
\(J\)-variational inequalities and zeroes of a family of maximal monotone operators by sunny generalized nonexpansive retraction. (English) Zbl 1439.47049
The general iterative algorithms for variational inclusions and fixed point problems extended to Banach spaces without the weakly sequentially continuous duality mapping. (Chinese. English summary) Zbl 1413.47119
Retraction algorithms for solving variational inequalities, pseudomonotone equilibrium problems, and fixed-point problems in Banach spaces. (English) Zbl 1394.65042
Iterative approximation with errors of zero points of monotone operators in a Banach space. (English) Zbl 1489.47092
Approximation of fixed point of accretive operators based on a Halpern-Type iterative method. (English) Zbl 1413.47105
Convergence of parallel iterative algorithms for a system of nonlinear variational inequalities in Banach spaces. (English) Zbl 1348.47057
On some regularization methods for the common fixed point of a finite family of nonexpansive mappings. (On the some regularization methods for common fixed point of a finite family of nonexpansive mappings.) (English) Zbl 1338.47075
Erratum to: “An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces”. (English) Zbl 1477.47056
Implicit and explicit algorithms for a system of nonlinear variational inequalities in Banach spaces. (English) Zbl 1322.49009
Reviewer: Zhang Xian (Xiamen)
Strong convergence theorems for commutative families of linear contractive operators in Banach spaces. (English) Zbl 1311.47094
Viscosity approximation methods for nonexpansive nonself-mappings without boundary conditions. (English) Zbl 1345.47062
An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces. (English) Zbl 1338.90407
Fixed Point Theory Appl. 2014, Paper No. 238, 7 p. (2014); erratum ibid. 2015, Paper No. 203, 1 p. (2015).
Strong convergence theorems for solutions of fixed point and variational inequality problems. (English) Zbl 1310.47108
Viscosity iteration algorithms for nonlinear variational inclusions and fixed point problems in Banach spaces. (English) Zbl 1364.47034
Strong convergence theorems for generalized nonexpansive mappings with the system of equilibrium problems in Banach spaces. (English) Zbl 1297.47080
Reviewer: In-Sook Kim (Suwon)
Convergence of an iterative algorithm for systems of generalized variational inequalities. (English) Zbl 1524.49018
Existence and modification of Halpern-Mann iterations for fixed point and generalized mixed equilibrium problems with a bifunction defined on the dual space. (English) Zbl 1397.47017
Strong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spaces. (English) Zbl 1476.47094
Strong convergence theorems for fixed point problems of a nonexpansive semigroup in a Banach space. (English) Zbl 1476.47082
Existence and approximation for a solution of a generalized equilibrium problem on the dual space of a Banach space. (English) Zbl 1476.47065
On an open question of Takahashi for nonspreading mappings in Banach spaces. (English) Zbl 1292.47033
Strong convergence for solving a general system of variational inequalities and fixed point problems in Banach spaces. (English) Zbl 1357.49029
A Korpelevich-like algorithm for variational inequalities. (English) Zbl 1295.47101
Reviewer: Hengyou Lan (Zigong)
An other approach for the problem of finding a common fixed point of a finite family of nonexpansive mappings. (English) Zbl 1413.47145
Strong convergence theorems for solving a general system of finite variational inequalities for finite accretive operators and fixed points of nonexpansive semigroups with weak contraction mappings. (English) Zbl 1475.47067
A regularization proximal point algorithm for zeros of accretive operators in Banach spaces. (English) Zbl 1396.47006
Regularization for the problem of finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces. (English) Zbl 1290.47063
Reviewer: Elena V. Tabarintseva (Chelyabinsk)
A note on the paper “Regularization proximal point algorithm for common fixed points of nonexpansive mappings in Banach spaces”. (English) Zbl 1261.90089
MSC:
90C48
Existence and approximation of fixed points of nonlinear mappings in spaces with weak uniform normal structure. (English) Zbl 1252.47059
Viscosity approximations with weak contraction for finding a common solution of fixed points and a general system of variational inequalities for two accretive operators. (English) Zbl 1272.47080
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Algorithms with strong convergence for a system of general nonlinear variational inequalities in Banach spaces. (English) Zbl 1301.47094
The expected retraction method in Banach spaces. (English) Zbl 1261.46069
Reich, Simeon (ed.) et al., Optimization theory and related topics. A workshop in memory of Dan Butnariu, Haifa, Israel, January 11–14, 2010. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-6908-6/pbk; 978-0-8218-8778-3/ebook). Contemporary Mathematics 568. Israel Mathematical Conference Proceedings, 69-75 (2012).
Reviewer: Srinivasa Swaminathan (Halifax)
Regularization proximal point algorithm for common fixed points of nonexpansive mappings in Banach spaces. (English) Zbl 1259.90163
Reviewer: Fabián Flores-Bazan (Concepción)
MSC:
90C48
Convergence of nonlinear projections and shrinking projection methods for common fixed point problems. (English) Zbl 1413.47111
Structure of the fixed point set of asymptotically nonexpansive mappings in Banach spaces with weak uniformly normal structure. (English) Zbl 1276.47070
MSC:
47H09
Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space. (English) Zbl 1270.47057
Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces. (English) Zbl 1315.47067
Convergence of iterative algorithm for finding common solution of fixed points and general system of variational inequalities for two accretive operators. (English) Zbl 1513.47122
Approximation of the nearest common fixed point of asymptotically nonexpansive mappings in Banach spaces. (English) Zbl 1260.47083
An iterative method for generalized variational inequalities with applications. (English) Zbl 1509.47094
Strong convergence of iterative sequence to a common fixed point of a finite family nonexpansive mappings in Banach spaces. (English) Zbl 1232.47050
A three-step iteration with errors for asymptotically quasi-nonexpansive mappings in the intermediate sense. (English) Zbl 1301.47084
Approximating common solutions of variational inequalities by iterative algorithms with applications. (English) Zbl 1308.47077
Iterative approximation of common fixed points of two nonself asymptotically nonexpansive mappings. (English) Zbl 1216.47100
Applications of the \(S\)-iteration process to constrained minimization problems and split feasibility problems. (English) Zbl 1281.47053
Iterative approximation to common fixed points of an infinite family of non-self non-expansive maps and strong convergence of Cesàro mean iterations. (Chinese. English summary) Zbl 1229.47121
Approximation of solutions of a generalized variational inequality and fixed points of strict pseudocontraction mappings. (Proximation of solution of a generalized variational inequality and fixed points of strict pseudo-contraction mappings.) (Chinese. English summary) Zbl 1230.47097
Strong and weak convergence theorems for equilibrium problems and generalized nonexpansive mappings in Banach spaces. (English) Zbl 1221.47114
Lin, Lai Jiu (ed.) et al., Proceedings of the 9th international conference on fixed point theory and its applications (ICFPTA), Changhua, Taiwan, July 16–22, 2009. Yokohama: Yokohama Publishers (ISBN 978-4-946552-40-3/hbk). 39-54 (2010).
MSC:
47J25
A new iterative method for solving a system of generalized relaxed cocoercive variational inequalities in Banach spaces. (English) Zbl 1217.47135
Reviewer: Dian K. Palagachev (Bari)
Strong convergence theorems and nonlinear analytic methods for linear contractive mappings in Banach spaces. (English) Zbl 1219.47087
Reviewer: Satit Saejung (Khon Kaen)
Strong convergence theorems for maximal monotone operators and generalized nonexpansive mappings in Banach spaces. (English) Zbl 1190.47071
A note on “Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces” [Nonlinear Anal. 67 (2007) 1211–1225]. (English) Zbl 1178.47036
Convergence theorems on viscosity approximation methods for a finite family of nonexpansive non-self-mappings. (English) Zbl 1186.47081
Generalized multivalued co-quasi-variational inequalities for fuzzy mappings. (English) Zbl 1188.49010
Strong convergence of Browder’s type iterations for left amenable semigroups of Lipschitzian mappings in Banach spaces. (English) Zbl 1222.47086
Regularization inertial proximal point algorithm for convex feasibility problems in Banach spaces. (English) Zbl 1219.47124
Strong convergence of averaging iterations of nonexpansive nonself-mappings in Banach spaces. (English) Zbl 1184.47055
Convergence of a composite iterative method for nonexpansive nonself-mappings. (English) Zbl 1184.47039
On parametric generalized multivalued co-variational inequalities in Banach spaces. (English) Zbl 1188.49009
Projection regularization method for convex feasibility problems in Banach spaces. (English) Zbl 1189.90198
Viscosity approximative methods for nonexpansive nonself-mappings without boundary conditions in Banach spaces. (English) Zbl 1217.47131
Strong convergence theorems by the viscosity approximation method for a countable family of nonexpansive mappings. (English) Zbl 1167.47047
Reviewer: Satit Saejung (Khon Kaen)
Viscosity approximative methods to Cesàro mean iterations for nonexpansive nonself-mappings in Banach spaces. (English) Zbl 1207.65075
MSC:
65J15
Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings. (English) Zbl 1142.47329
Strong convergence of the composite Halpern iteration. (English) Zbl 1135.47052
Reviewer: Vasile Berinde (Baia Mare)
Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions. (English) Zbl 1169.47052
Reviewer: Edward Prempeh (Kumasi)
Implicit and explicit constructions of sunny nonexpansive retractions in Banach spaces. (English) Zbl 1173.47033
Reviewer: Jarosław Górnicki (Rzeszów)
Iterative approximation to common fixed points of two nonexpansive mappings in Banach spaces. (English) Zbl 1220.47134
Convergence theorems of iterative algorithms for a family of finite nonexpansive mappings. (English) Zbl 1219.47117
A new projection and convergence theorems for the projections in Banach spaces. (English) Zbl 1152.46012
Reviewer: Barry Turett (Rochester)
Strong convergence theorems of averaging iterations of nonexpansive nonself-mappings in Banach spaces. (English) Zbl 1143.47045
Reviewer: Peter Zabreiko (Minsk)
Strong convergence theorems for nonexpansive mapping. (English) Zbl 1144.47050
Reviewer: Billy E. Rhoades (Bloomington)
Strong convergence theorems for finitely many nonexpansive mappings and applications. (English) Zbl 1123.47044
Reviewer: Peter Zabreiko (Minsk)
Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces. (English) Zbl 1123.47048
Reviewer: Rodica Luca Tudorache (Iaşi)
Nonexpansive retracts in Banach spaces. (English) Zbl 1125.46019
Jachymski, Jacek (ed.) et al., Fixed point theory and its applications. Proceedings of the international conference, Bȩdlewo, Poland, August 1–5, 2005. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 77, 161-174 (2007).
Reviewer: Martin Väth (Gießen)
Strong convergence theorems on two iterative method for non-expansive mappings. (English) Zbl 1148.65306
Generalized co-complementarity problems in \(p\)-uniformly smooth Banach spaces. (English) Zbl 1137.49009
Browder’s type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces. (English) Zbl 1121.47058
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Strong convergence theorems on the modified iterative algorithm for a family of finite nonexpansive nonself mappings. (English) Zbl 1112.47056
Reviewer: Vasile Berinde (Baia Mare)
Approximating common fixed points of nonexpansive semigroups in Banach spaces. (English) Zbl 1109.47057
Reviewer: Mihai Turinici (Iaşi)
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