Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces

被引：10

作者：

Chang, Shih-sen ^{[1
]}

Lee, H. W. Joseph ^{[2
]}

Chan, Chi Kin ^{[2
]}

机构：

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

[2] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 212卷 / 01期

关键词：

Lipschitzian pseudocontraction semigroup; Asymptotically nonexpansive semigroups; Uniformly Gateaux differentiable norm; Uniform normal structure; Normalized duality mapping; Common fixed point; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; HILBERT-SPACES;

D O I：

10.1016/j.amc.2009.01.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the convergence problems of the implicity iteration process for an asymptotically nonexpansive semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results announced by many authors. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：60 / 65

页数：6

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