Approximating fixed points of nonexpansive mappings in a Banach space by metric projections

被引：19

作者：

Matsushita, Shin-ya ^{[1
]}

Takahashi, Wataru ^{[2
]}

机构：

[1] Matsue Coll Technol, Dept Informat Sci, Matsue, Shimane 6908518, Japan

[2] Tokyo Inst Technol, Dept Math & Computat Sci, Tokyo 1528552, Japan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 196卷 / 01期

关键词：

nonexpansive mapping; metric projection; uniformly convex Banach space; approximating fixed point;

D O I：

10.1016/j.amc.2007.06.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a strong convergence theorem for nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem is different from the recent strong convergence theorem due to Xu [H.K. Xu, Strong convergence of approximating fixed point sequences for nonexpansive mappings, Bull. Aust. Math. Soc. 74 (2006) 143-151] which was established by generalized projections. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：422 / 425

页数：4

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