Monotone Generalized -Nonexpansive Mappings on CAT_p(0) Spaces

We examine the existence of fixed points of generalized alpha-nonexpansive mappings on CAT(p)(0) spaces. We establish various convergence results for a newly defined algorithm associated with alpha-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 alpha-nonexpansive mappings and prove some existence and convergence results for these mappings.