Total quasi-φ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces

被引：4

作者：

Chang, Shih-sen ^{[1
]}

Kim, Jong Kyu ^{[2
]}

Wang, Lin ^{[1
]}

机构：

[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

[2] Kyungnam Univ, Dept Math Educ, Masan 631701, Kyungnam, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

modified Halpern-Mann-type iteration; total quasi-phi-symptotically nonexpansive semigroups; quasi-phi-symptotically nonexpansive semigroups; quasi-phi-nonexpansive semigroups; relatively nonexpansive semigroups; generalized projection; COMMON FIXED-POINTS; MAPPINGS; ALGORITHMS;

D O I：

10.1186/1687-1812-2012-153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for total quasi-phi-asymptotically nonexpansive semigroups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in the paper improve and extend the corresponding recent results announced by many authors.

引用

页数：14

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