Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a -step iterative scheme with error terms

In this paper a k + 1 -step iterative scheme with error terms involving k + 1 asymptotically quasi-nonexpansive mappings is studied. In usual Banach spaces, some sufficient and necessary conditions are given for the iterative scheme to approximate a common fixed point. In uniformly convex Banach spaces, power equicontinuity for a mapping is introduced and a series of new convergence theorems are established. Several known results in the current literature are extended and refined.