CONVERGENCE ANALYSIS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CONVEX METRIC SPACES WITH APPLICATIONS

Abstract

The purpose of this paper is to study newly proposed finite-step iteration scheme in a convex metric space and establish some strong convergence theorems for two finite families of total asymptotically nonexpansive mappings. Also, we give some applications of our result. The results presented in this paper extend and generalize several results from the current existing literature.