Iterative methods for generalized equilibrium problems and fixed point problems with applications

被引：71

作者：

Qin, Xiaolong ^{[1
]}

Chang, Shih-sen ^{[2
]}

Cho, Yeol Je ^{[3
,4
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

[2] Yibin Univ, Dept Math, Yibin 644007, Peoples R China

[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期

关键词：

Nonexpansive mapping; Inverse-strongly monotone mapping; Equilibrium problem; Variational inequality; Strict pseudo-contraction; VARIATIONAL INEQUALITY PROBLEMS; STRONG-CONVERGENCE THEOREMS; VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; MONOTONE MAPPINGS; BANACH-SPACES; NONLINEAR MAPPINGS; PROJECTION METHODS; SYSTEM;

D O I：

10.1016/j.nonrwa.2009.10.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider an iterative method for finding a common element of the set of a generalized equilibrium problem, of the set of solutions to a system of variational inequalities and of the set of fixed points of a strict pseudo-contraction. Strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding results announced by many others. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2963 / 2972

页数：10

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