Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions

被引：28

作者：

Matsushita, Shin-ya

Takahashi, Wataru

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528522, Japan

[2] Matsue Natl Coll Technol, Dept Informat Engn, Matsue, Shimane 6908518, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 02期

关键词：

nonexpansive nonself-mapping; fixed point; boundary condition; sunny nonexpansive retraction; Banach limit; approximation of fixed points;

D O I：

10.1016/j.na.2006.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study boundary conditions for nonexpansive nonself-mappings in a Banach space. Using this, we prove two strong convergence theorems for nonexpansive nonself-mappings in a Banach space without boundary conditions. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：412 / 419

页数：8

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