A modified iteration for total asymptotically nonexpansive mappings in Hadamard spaces

Abstract

The motive of this paper is to study the convergence analysis of a modified iteration procedure for total asymptotically nonexpansive mapping under some suitable conditions in the setting of CAT(0) spaces. By using MATLAB R2018a, we also illustrate numerical experiment to compare the rate of convergence of the new iteration process with some existing iteration processes.

Keywords

• cat(0) space
• total asymptotically nonexpansive mappings
• weak and strong convergence