Convergence theorems for fixed points in CATp(0) spaces

In this paper, we study a generalized class of nonexpansive mappings in the setting of CATp(0) spaces and establish that themappings have a demiclosedness-type property. We state some conditions under which a sequence -converges to a fixed point of any given map having such fixed point. Also, we introduce JK iteration in CATp(0) setting and prove some convergence theorems. Furthermore, we apply the result to solve
minimization problems in CAT(0) spaces, computemean and medium, and track a task in robotic motion control. Finally,we give numerical examples in aCATp(0) space that is not CAT(0) space and in a non-Hilbert CAT(0) space, to show the implementation of the proposed scheme.