The New Hybrid Iterative Algorithm for Numerical Reckoning Fixed Points of Suzuki's Generalized Nonexpansive Mappings with Numerical Experiments

Adoon Pansuwan, Wutiphol Sintunavarat · Thai Journal of Mathematics · 2021

The purpose of this work is to introduce a new hybrid iterative algorithm to approximate fixed point of Suzuki's generalized nonexpansive mappings. We prove the convergence theorem in uniformly convex Banach spaces under the several conditions. A numerical example is also given to examine the fastness of the proposed iteration process under different control conditions and initial points with the well-known iterations in the literatures.

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