Monotone generalized α -nonexpansive mappings on C ker n - 1 p t A T p ( 0 ) spaces

UDC 517.5 We examine the existence of fixed points of generalized α -nonexpansive mappings on C ker n - 1 p t A T p ( 0 ) spaces. We establish various convergence results for a newly defined algorithm associated with α -nonexpansive mappings. We 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.