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.
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页码：1287 / 1297
页数：11
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