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.
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页码：1816 / 1828
页数：13
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