The aim of this paper is to prove a new iterative sequence {xn} under some sufficient and necessary conditions converges strongly to a common fixed point of asymptotically nonexpansive mappings {Ti}i=1 by using viscosity approximation methods. Our results extend and improve some recent results. Mathematics Subject Classification: 47H09, 47H10

In this paper, I introduce an implicit iterative process with mixed errors for two finite family of total asymptotically nonexpansive mappings in a uniformly convex Banach space and prove strong convergence theorems under some conditions. My results improved and extended many know results existing in the literature.