Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems

被引：72

作者：

Peng, Jian-Wen ^{[2
]}

Yao, Jen-Chih ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Math Appl, Kaohsiung 804, Taiwan

[2] Chongqing Normal Univ, Coll Math & Comp Sci, Chongqing 400047, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 9-10期

基金：

芬兰科学院; 中国国家自然科学基金;

关键词：

Mixed equilibrium problem; Extragradient method; Nonexpansive mapping; Monotone mapping; Variational inequality; Strong convergence; Fixed point; VARIATIONAL INEQUALITY PROBLEMS; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; ALGORITHMS; OPERATORS; OPTIMIZATION; SPACES; WEAK;

D O I：

10.1016/j.mcm.2008.11.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a new iterative scheme based on the extragradient method for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a family of finitely nonexpansive mappings and the set of solutions of the variational inequality for a monotone, Lipschitz continuous mapping is proposed. A strong convergence theorem for this iterative scheme in Hilbert spaces is established. Applications to optimization problems are given. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1816 / 1828

页数：13

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