DEMICLOSED PRINCIPLE AND CONVERGENCE THEOREMS FOR GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT(κ) SPACES
GURUCHARAN SINGH SALUJA, J. K. Kim, Ho Geun Hyun · Nonlinear functional analysis and applications · 2017
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.