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

Jing Quan, Shih-sen Chang, Xiongrui Wang
2012 Fixed Point Theory and Applications  
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
doi:10.1186/1687-1812-2012-142 fatcat:a4wwvubgzjczvb6c7qnqjyvuay