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

Adoon Pansuwan, Wutiphol Sintunavarat

Abstract

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.