Strong convergence theorems of quasi-ϕ-asymptotically nonexpansive semi-groups in Banach spaces
Shih-sen Chang, Lin Wang, Yong-Kun Tang, Yun-He Zao, Bin Wang · Fixed Point Theory and Applications · 2012
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.