Strong convergence theorems for nonexpansive semi-groups in Banach spaces

被引：8

作者：

Zhang Shi-sheng ^{[1
]}

Yang Li

Liu Jing-ai

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Peoples R China

[2] SW Univ Sci & Technol, Dept Math, Mianyang 621002, Peoples R China

[3] Yanbian Univ, Dept Math, Yanji 133002, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2007年 / 28卷 / 10期

关键词：

nonexpansive semi-group; demi-closed principle; common fixed point; uniformly smooth Banach space; weakly continuous normalized duality mapping;

D O I：

10.1007/s10483-007-1002-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of Shioji-Takahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.

引用

页码：1287 / 1297

页数：11

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