Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings

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Zena Hussein Maibed
Ali Qasem Thajil

Abstract

This article will introduce a new iteration method called the zenali iteration method for the approximation of fixed points. We show that our iteration process is faster than the current leading iterations  like Mann, Ishikawa, oor, D- iterations, and *-  iteration for new contraction mappings called  quasi contraction mappings. And we  proved that all these iterations (Mann, Ishikawa, oor, D- iterations and *-  iteration) equivalent to approximate fixed points of  quasi contraction. We support our analytic proof by a numerical example, data dependence result for contraction mappings type  by employing zenali iteration also discussed.

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How to Cite
Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings. (2021). Ibn AL-Haitham Journal For Pure and Applied Sciences, 34(4), 78-92. https://doi.org/10.30526/34.4.2705
Section
Mathematics

How to Cite

Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings. (2021). Ibn AL-Haitham Journal For Pure and Applied Sciences, 34(4), 78-92. https://doi.org/10.30526/34.4.2705