Proximal Point Algorithm Based on AP Iterative Technique for Nonexpansive Mappings in CAT(0) Spaces

Abstract

. In this paper, we introduce the modified proximal point algorithm for solving minimization problems in CAT(0) spaces. We then show that the sequence converges to a common fixed point of nonexpansive mapping and a minimizer of a convex function. Finally, we present a numerical illustration for supporting our main result. The findings in this paper are a generalization of certain corresponding results given by some authors