Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space

被引：346

作者：

Takahashi, Satoru ^{[2
]}

Takahashi, Wataru ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

[2] Yokohama Publishers, Yokohama, Kanagawa 2270053, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 03期

关键词：

nonexpansive mapping; fixed point; inverse-strongly monotone mapping; variational inequality; equilibrium problem;

D O I：

10.1016/j.na.2008.02.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space and then obtain that the sequence converges strongly to a common element of two sets. Using this result, we prove three new. strong convergence theorems in fixed point problems, variational inequalities and equilibrium problems. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1025 / 1033

页数：9

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