DEMICLOSED PRINCIPLE AND CONVERGENCE THEOREMS FOR GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT(κ) SPACES

Abstract

The aim of this paper is to study modified S-iteration process for generalized asymptotically nonexpansive mappings and establish demiclosed principle, existence and convergence theorems for the iteration scheme and mappings in the setting of CAT(κ) spaces with k > 0. Our results extend and generalize the previous works from the current existing literature.