Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem

被引：313

作者：

Tada, A. ^{[1
]}

Takahashi, W. ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 152, Japan

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2007年 / 133卷 / 03期

关键词：

equilibrium problems; nonexpansive mappings; firmly nonexpansive mappings; weak and strong convergence; monotonicity;

D O I：

10.1007/s10957-007-9187-z

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce two iterative sequences for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem in a Hilbert space. Then, we show that one of the sequences converges strongly and the other converges weakly.

引用

页码：359 / 370

页数：12

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