Strong convergence for total quasi- ϕ -asymptotically nonexpansive semigroups in Banach spaces

Fixexd point theory and applications

Shih-sen Chang¹  Jing Quan²  Xiongrui Wang² 

[1] College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, China;Department of Mathematics, Yibin University, Yibin, China

关键词: strong convergence;    total quasi-ϕ-asymptotically nonexpansive semigroups;    generalized projection;   

DOI  :  10.1186/1687-1812-2012-142

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this article is to use the modified Halpern-Mann type iteration algorithm for total quasi-ϕ-asymptotically nonexpansive semigroups to prove strong convergence in Banach spaces. The main results presented in this paper extend and improve the corresponding results of many authors. MSC:47H05, 47H09, 49M05.

【 授权许可】

CC BY