Convergence Theorems of a Finite-Step Iteration Algorithm Under Two Finite Families of Total Asymptotically Quasi-Nonexpansive Maps

摘要

In this paper, an iteration algorithm for two finite families of total asymptotically quasi-nonexpansive maps in Banach space is introduced. Weak and strong convergence theorems of this algorithm for approximation common fixed points are proved by using suitable conditions. As well as, numerical example by using Mat-lab is given.