A viscosity approximation scheme for finite mixed equilibrium problems and variational inequality problems and fixed point problems

被引：4

作者：

Cai, Gang ^{[1
]}

Bu, Shangquan ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 01期

关键词：

Fixed point; Nonexpansive mapping; Relaxed cocoercive mapping; Variational inequality; Mixed equilibrium problem; NONEXPANSIVE-MAPPINGS; GENERALIZED EQUILIBRIUM; STRONG-CONVERGENCE; SPACES; FAMILY;

D O I：

10.1016/j.camwa.2011.05.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of finite mixed equilibrium problems, the set of solutions of variational inequalities for two cocoercive mappings, the set of common fixed points of an infinite family of nonexpansive mappings and the set of common fixed points of a nonexpansive semigroup in Hilbert space. Then we prove a strong convergence theorem under some suitable conditions. The results obtained in this paper extend and improve many recent ones announced by many others. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.

引用

页码：440 / 454

页数：15

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