Strong Convergence Theorems for Lipschitzian Demicontraction Semigroups in Banach Spaces

被引：8

作者：

Chang, Shih-sen ^{[1
]}

Cho, Yeol Je ^{[2
,3
]}

Lee, H. W. Joseph ^{[4
]}

Chan, Chi Kin ^{[4
]}

机构：

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

[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

COMMON FIXED-POINTS; IMPLICIT ITERATION PROCESS; NONEXPANSIVE SEMI-GROUPS; FINITE FAMILY; HILBERT-SPACES; MAPPINGS; CONSTRUCTION;

D O I：

10.1155/2011/583423

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 introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main results presented in this paper not only extend and improve some recent results announced by many authors, but also give an affirmative answer for the open questions raised by Suzuki (2003) and Xu (2005).

引用

页数：10

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