Weak convergence theorems for nonexpansive mappings and monotone mappings

被引：637

作者：

Takahashi, W ^{[1
]}

Toyoda, M ^{[1
]}

机构：

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

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 118卷 / 02期

关键词：

nonexpansive mappings; inverse strongly-monotone mappings; variational inequalities; fixed points;

D O I：

10.1023/A:1025407607560

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 an iteration process of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for an inverse strongly-monotone mapping, and then obtain a weak convergence theorem. Using this result, we obtain a weak convergence theorem for a pair of a nonexpansive mapping and a strictly pseudo-contractive mapping. Further, we consider the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse strongly-monotone mapping.

引用

页码：417 / 428

页数：12

共 10 条

[1] FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE [J].