Approximating common fixed points of a family of non-self mappings in CAT(0) spaces

Abstract

In this paper, we construct an iterative scheme for approximating common fixed points of a countable family of quasi-nonexpansive non-self mappings in a complete CAT(0) space. In addition, we prove M-convergence and strong convergence results of the scheme under appropriate conditions. Moreover, we construct an iterative scheme for approximating common fixed points of a countable family of demicontractive mappings and establish strong convergence result of the scheme under some mild conditions. Our results improve and generalize most of the results in the literature.