Approximating common Fixed points for four asymptotically quasi-nonexpansive mappings in CAT(0) spaces

Abstract

The aim of this paper to study a three-step iterative algorithm for four asymptotically quasi-nonexpansive mappings in the framework of CAT(0) spaces (for definition, see page 2). Also we establish some strong convergence theorems for above said scheme and mappings by using semi-compactness and condition (GA) (see, definition 2) which is more general than condition (A) (see, definition 1). Our results improve and extend the corresponding results from the previous work. Keywords:Asymptotically quasi-nonexpansive mapping, three-step iteration scheme,common Fixed point, strong convergence, CAT(0) space. 2010 Mathematics Subject Classification: 54H25, 54E40.