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.

Article Details

How to Cite
MAIBED, Zena Hussein; THAJIL, Ali Qasem. Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings. Ibn AL- Haitham Journal For Pure and Applied Sciences, [S.l.], v. 34, n. 4, p. 78-92, oct. 2021. ISSN 2521-3407. Available at: <https://jih.uobaghdad.edu.iq/index.php/j/article/view/2705>. Date accessed: 18 oct. 2021.
Section
mathematics