On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme

Year 2019, Volume: 7 Issue: 1, 97 - 106, 15.04.2019

Yunus Atalan

Abstract

The aim of this paper is to obtain results of the strong convergence, rate of convergence and data dependence for a new three step iterative scheme using contraction mappings and to give examples for the rate of convergence and data dependence results. After these numerical approachs, it can be seen that the new iterative scheme has a better rate of convergence with respect to the other iterative schemes in the literature. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

Keywords

A new iterative scheme, Strong convergence, Data Dependence, Contraction mappings

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