A new iteration process for approximation of fixed points of α-ψ-contractive type mappings in CAT(0) spaces

Abstract

In this paper we introduce a new iterative algorithm for approximating fixed points of ?-?-contractive type mappings in CAT(0) spaces. We prove a ?-convergence theorem under suitable conditions. The result we obtain improves and extends several recent results stated by many others; they also complement many known recent results in the literature. We then provide some numerical examples to illustrate our main result and to display the efficiency of the proposed algorithm.