Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings

被引：37

作者：

Kangtunyakarn, Atid ^{[1
]}

Suantai, Suthep ^{[1
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2009年 / 3卷 / 03期

关键词：

Strong convergence; Finite families of nonexpansive mapping; Fixed point; Generalized equilibrium problem; Inverse-strongly monotone;

D O I：

10.1016/j.nahs.2009.01.012

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common fixed point of a finite family of nonexpansive mappings which is a solution of the generalized equilibrium problem. The results obtained in this paper extend the recent ones of Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025-1033]. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：296 / 309

页数：14

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