Strong convergence to a fixed point of a total asymptotically nonexpansive mapping

Abstract

In this paper, we prove strong convergence for the modified Ishikawa iteration process of a total asymptotically nonexpansive mapping satisfying condition (A) in a real uniformly convex Banach space. Our result generalizes the results due to Rhoades

A New Iterative Algorithm for Total Asymptotically Non-Expansive Mapping in CAT(0) Spaces

“…In this part, we'll look at a total asymptotically non-expansive mapping as an example. Example: [32] Let M = R with usual metric and C = [0, 2]. Let a self map S on Θ as follows:…”

Three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in uniformly convex metric spaces

“…To know the importance of different iterative algorithms for the approximation of fixed points of total asymptotically nonexpansive mappings in uniformly convex Banach spaces, CAT (0) spaces and hyperbolic spaces, we refer the interested reader to [7,11,15,21,25].…”