On Picard-Krasnoselskii hybrid iteration process in Banach spaces (Q780464)

Summary: In this research, we prove strong and weak convergence results for a class of mappings which is much more general than that of Suzuki nonexpansive mappings on Banach space through the Picard-Krasnoselskii hybrid iteration process. Using a numerical example, we prove that the Picard-Krasnoselskii hybrid iteration process converges faster than both of the Picard and Krasnoselskii iteration processes. Our results are the extension and improvement of many well-known results of the literature.