Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
Shih-sen Chang, Jong Kyu Kim, Lin Wang · Fixed Point Theory and Applications · 2012
Abstract The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for total quasi-ϕ-asymptotically nonexpansive 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. MSC:47J05, 47H09, 49J25.