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
收藏
页数:14
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