NUMERICAL RECKONING FIXED POINTS FOR BERINDE MAPPINGS VIA A FASTER ITERATION PROCESS

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info:eu-repo/semantics/openAccess

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In this paper we prove that the M-iteration process converges strongly faster than S-iteration and Picard-S iteration processes. Moreover, the M- iteration process is faster than the 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 (C) 2018 All rights reserved.

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

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Facta Universitatis-Series Mathematics and Informatics

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33

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2

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Onay

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