Fixed point solutions of generalized equilibrium problems for nonexpansive mappings

被引：20

作者：

Shehu, Y. ^{[1
]}

机构：

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 03期

关键词：

Nonexpansive mappings; Generalized equilibrium problems; Variational inequality problems; Fixed points; Hilbert spaces; STRONG-CONVERGENCE; MONOTONE-OPERATORS;

D O I：

10.1016/j.cam.2010.01.055

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 fixed points of a nonexpansive mapping and the set of solutions of a generalized equilibrium problem in a real Hilbert space. Then, strong convergence of the scheme to a common element of the two sets is proved. As an application, problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem is solved. Moreover, solution is given to the problem of finding a common element of fixed points set of nonexpansive mappings and the set of solutions of a variational inequality problem. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：892 / 898

页数：7

共 10 条

[1]

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