Hybrid-type iteration scheme for approximating fixed points of Lipschitz α-hemicontractive mappings

Abstract

We propose a two-step iteration Scheme of hybrid-type for α-hemicontractive mappings and establish some weak and strong convergence theorems of the scheme to the fixed points of the mappings in real Hilbert spaces. Our results extend and generalize the results of Wang [18], compliments the results of Osilike and Onah [17] and other numerous results currently existing in literature.