Strong Convergence Theorem for Finite Family of Generalised Asymptotically Nonexpansive Maps

Abstract

Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P and T i:1••• ,m : K −→ X a finite family of uniformly continuous generalised asymptotically nonexpansive maps with a nonempty common fixed point set F. We provided and proved sufficient conditions for the strong convergence of a sequence of successive approximations generated by an m-step algorithm to a point of F .