numerical Reckoning Fixed Points for Berinde Mappings via a Faster iteration Process

Osman Alagoz, Birol Gunduz, Sezgin Akbulut

DOI Number
https://doi.org/10.22190/FUMI1802295A
First page
295
Last page
305

Abstract


In this work we prove that $M$-iteration process converges strongly faster than $S$-iteration and Picard-$S$ iteration processes. Moreover $M-$ iteration process is faster than $S_n$ iteration process with a sufficient condition for weak contractive mapping defined on a normed linear space. We also give two numerical reckoning examples to support our main theorem. For approximating fixed points, all codes were written in MAPLE \textcircled{c}2018 All rights reserved.

Keywords

Iteration process, fixed point, weak contractive mapping, normed linear space.

Keywords


faster iteration, Berinde mapping, rate of convergence

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References


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DOI: https://doi.org/10.22190/FUMI1802295A

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