Some convergence results for monotone nonexpansive mappings in ordered CAT(0) spaces

Abstract

 In this paper, we study Picard-S iteration scheme for monotone nonexpansive mappings in the setting of CAT(0) spaces and establish some convergence results. We prove ∆ and strong convergence results. Further, we provide a non trivial numerical example to illustrate the convergence of our iteration scheme and its stability with respect to the different parameters and initial values