WEAK CONVERGENCE OF AN ITERATIVE SCHEME FOR GENERALIZED EQUILIBRIUM PROBLEMS

DOI10.1017/S0004972708001378zbMath1171.47054OpenAlexW2029872470MaRDI QIDQ3633333

Jian-Wen Peng, Jen-Chih Yao

Publication date: 18 June 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708001378

zbMATH Keywords

weak convergencefixed pointvariational inequalitynonexpansive mappingextragradient methodgeneralized equilibrium problemmonotone mapping

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items

On the weak convergence of iterative sequences for generalized equilibrium problems and strictly pseudocontractive mappings ⋮ Iterative algorithms for common elements in fixed point sets and zero point sets with applications ⋮ Some extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings ⋮ Convergence of iterative sequences for generalized equilibrium problems involving inverse-strongly monotone mappings ⋮ An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings ⋮ Ishikawa iterative algorithms for a generalized equilibrium problem and fixed point problems of a pseudo-contraction mapping

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