DEMICLOSEDNESS PRINCIPLE AND CONVERGENCE THEOREMS FOR LIPSCHITZIAN TYPE NONSELF-MAPPINGS IN CAT(0) SPACES

Abstract

In this paper, we study the existence of fixed points, demiclosedness principle and the structure of fixed point sets for the class of nearly asymptotically nonexpansive nonself-mappings in CAT(0) spaces, and also we discuss the strong and ∆-convergence theorems for an iterative scheme introduced by Khan. Our results are improvements of the various well-known results of fixed point theory which is established in uniformly convex Banach spaces as well as CAT(0) spaces.