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

Fixexd point theory and applications

Bin Wang¹  Yun-He Zao¹  Shih-sen Chang¹  Lin Wang¹  Yong-Kun Tang¹ 

[1] College of statistics and mathematics, yunnan university of finance and economics, kunming, china

关键词: modified Halpern-Mann-type iteration;    quasi-ϕ-symptotically nonexpansive semi-groups;    quasi-ϕ-nonexpansive semi-groups;    weak relatively nonexpansive mapping;    relatively nonexpansive semi-groups;    generalized projection;   

DOI  :  10.1186/1687-1812-2012-15

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for quasi-ϕ-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in the article improve and extend the corresponding recent results announced by many authors. 2000 AMS Subject Classification: 47J05; 47H09; 49J25.

【 授权许可】

CC BY