On the weak convergence of iterative sequences for generalized equilibrium problems and strictly pseudocontractive mappings

DOI10.1080/02331934.2010.534165zbMath1287.47052OpenAlexW2040785391MaRDI QIDQ3165900

Xiaolong Qin, Sun Young Cho, Jong Kyu Kim

Publication date: 19 October 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.534165

zbMATH Keywords

weak convergencefixed pointvariational inequalitynonexpansive mappingHilbert spaceiterative schemeinverse-strongly monotone mappingstrictly pseudocontractive mappinggeneralized equilibrium problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

On nonexpansive and accretive operators in Banach spaces

Cites Work

• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
• Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
• Weak convergence theorem for monotone mappings and a countable family of nonexpansive mappings
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings
• Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• WEAK CONVERGENCE OF AN ITERATIVE SCHEME FOR GENERALIZED EQUILIBRIUM PROBLEMS
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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