Convergence theorems for nonexpansive mappings and feasibility problems

被引：118

作者：

Takahashi, W ^{[1
]}

Shimoji, K ^{[1
]}

机构：

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

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 32卷 / 11-13期

关键词：

nonexpansive mapping; feasibility problem; fixed point; uniformly convex Banach space; Banach limit;

D O I：

10.1016/S0895-7177(00)00218-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we introduce an iteration scheme given by finite nonexpansive mappings in Banach spaces and then prove weak convergence theorems which are connected with the problem of image recovery. Using the results, we consider the problem of finding a common fixed point of finite nonexpansive mappings. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1463 / 1471

页数：9

共 21 条

[1]

Browder F.E., 1976, P S PURE MATH, P18

[2] COMMON FIXED-POINT THEOREM FOR A COMMUTING FAMILY OF NONEXPANSIVE MAPPINGS [J].