Monotone Generalized α -Nonexpansive Mappings on CAT p (0) Spaces

We examine the existence of fixed points of generalized α -nonexpansive mappings on CAT p (0) spaces. We establish various convergence results for a newly defined algorithm associated with α -nonexpansive mappings and present some illustrative examples to show the efficiency of the proposed algorithm and to support the above-mentioned results. We also define monotone generalized α -nonexpansive mappings and prove some existence and convergence results for these mappings.