Viscosity iteration method for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings

被引：12

作者：

Inchan, Issara ^{[1
,2
]}

机构：

[1] Uttaradit Rajabhat Univ, Dept Math & Comp, Uttaradit, Thailand

[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 06期

关键词：

Generalized equilibrium problem; Variational inequalities; Nonexpansive mapping; STRONG-CONVERGENCE;

D O I：

10.1016/j.amc.2012.09.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of generalized equilibrium problem and the set of common fixed point of family of nonexpansive mappings in a Hilbert space. We prove the strong convergence of viscosity iterative algorithm to common element of the set of generalized equilibrium problem and the set of common fixed point of family of nonexpansive mappings. The result improve the recent ones of Ceng and Yao (2008) [L. C. Ceng, J.C. Yao, Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings, Appl. Math. Comput. 198 (2008) 729-741]. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：2949 / 2959

页数：11

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