Strong convergence of Mann's-type iterations for nonexpansive semigroups in general Banach spaces

被引：8
|
作者：
Atsushiba, S [1 ]
Takahashi, W
机构：
[1] Shibaura Inst Technol, Dept Math, Minuma Ku, Saitama 3378570, Japan
[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 06期
关键词：
fixed point; iteration; nonexpansive mapping; nonexpansive semigroup; strong convergence;
D O I：
10.1016/j.na.2004.07.055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a strong convergence theorem of Mann's type for commutative nonexpansive semigroups in general Banach spaces. Using this theorem, we obtain some strong convergence theorems in general Banach spaces. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：881 / 899
页数：19
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