Strong convergence theorems of total quasi-φ-asymptotically nonexpansive semi-groups in Banach spaces

被引：1
|
作者：
Chang, Shih-sen [1 ]
Chan, Chi Kin [2 ]
Yang, Li [3 ]
Wang, Xiong Rui [4 ]
机构：
[1] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
[3] South West Univ Sci & Technol, Dept Math, Mianyang 621010, Sichuan, Peoples R China
[4] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 224卷
关键词：
Total quasi-phi-symptotically nonexpansive semi-groups; Quasi-phi-symptotically nonexpansive semi-groups; Quasi-phi-nonexpansive semi-groups; Modified Halpern-Mann-type iteration; Relatively nonexpansive semi-groups; Generalized projection; COMMON FIXED-POINTS; ITERATION ALGORITHM; MAPPINGS; SEMIGROUPS;
D O I：
10.1016/j.amc.2013.08.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is first to introduce the concept of total quasi-phi-asymptotically nonexpansive semigroups which contains many kinds of semi-groups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for this kind of 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. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：398 / 404
页数：7
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