Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples

Authors : Osman ALAGOZ, Birol GÜNDÜZ, Sezgin AKBULUT

Pages : 162-174

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Publication Date : 2020-02-28

Article Type : Research Paper

Abstract :In this paper firstly, we compared rates of convergences of some iteration processes which converge faster than Picard, Mann, Ishikawa and S-iteration processes. Then, we proved some strong and weak convergence theorems for the fastest iteration process for Suzuki’s generalized non-expansive mapping in Banach spaces. We also supported our theoretical findings via numerical examples. 
Keywords : Suzukis non expansive mapping, rate of convergence, fixed point