Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
Zhao Liang-cai, Shih-sen Chang, Jong Kyu Kim · Fixed Point Theory and Applications · 2013
Abstract The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove some Δ-convergence theorems of the mixed type iteration process to approximating a common fixed point for two asymptotically nonexpansive mappings and two total asymptotically nonexpansive mappings in hyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature. MSC:47H09, 47H10.