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In this paper we propose a new three-step iteration process, called M  iteration process, for approximation of fixed points. Some weak and strong  convergence theorems are proved for Suzuki generalized nonexpansive mappings  in the setting of uniformly convex Banach spaces. Numerical example is given  to show the efficiency of new iteration process. Our results are the  extension, improvement and generalization of many known results in the  literature of iterations in fixed point theory.

Numerical reckoning fixed points for Suzuki’s generalized nonexpansive mappings via new iteration process