Convergence analysis for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems

被引：14

作者：

Ofoedu, Eric U. ^{[1
]}

Shehu, Y. ^{[2
]}

机构：

[1] Nnamdi Azikiwe Univ, Dept Math, Awka, Anambra State, Nigeria

[2] Univ Nigeria, Dept Math, Nsukka, Nigeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期

关键词：

Generalized f-projection operator; Hybrid method; Equilibrium problems; Relatively quasi nonexpansive mappings; Uniformly convex and uniformly smooth real Banach spaces; FIXED-POINT PROBLEMS; WEAK-CONVERGENCE; BANACH-SPACES; THEOREMS; INEQUALITIES; OPERATORS;

D O I：

10.1016/j.amc.2011.03.147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new iterative scheme by hybrid method is constructed. Strong convergence of the scheme to a common element of the set of common fixed points of finite family of relatively quasi-nonexpansive mappings and set of common solutions of a system of equilibrium problems in a uniformly convex and uniformly smooth real Banach space is proved using the properties of generalized f-projection operator. Our results extend important recent results. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：9142 / 9150

页数：9

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