Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems

被引：101

作者：

Qin, Xiaolong ^{[2
,3
]}

Shang, Meijuan ^{[1
]}

Su, Yongfu ^{[4
]}

机构：

[1] Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China

[2] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[4] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 7-8期

关键词：

nonexpansive mapping; viscosity approximation method; equilibrium problem; fixed point;

D O I：

10.1016/j.mcm.2007.12.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The purpose of this paper is to study the strong convergence of a general iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variation inequalities for a relaxed cocoercive mapping and the set of solutions of an equilibrium problem. Our results extend recent results announced by many others. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1033 / 1046

页数：14

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