Convergence of Best proximity pair for noncyclic Suzuki’s relatively nonexpansive with numerical simulation

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Published: Mar 29, 2024
Keywords:
Best proximity pair Noncyclic mapping Suzuki’s relatively nonexpansive Uniformly convex Banach space

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Nawitcha Onjai-Uea
Department of Mathematics, Faculty of Science and Technology, Nakhon Pathom Rajabhat University, Nakhon Pathom 73000, Thailand
Thanyarat Jitpeera
Department of Science, Faculty of Science and Agriculture, Rajamangala University of Technology Lanna, Chiangrai, 57120, Thailand
Chirasak Mongkolkeha
Department of Computational Science and Digital Technology, Faculty of Liberal Arts and Sciences, Kasetsart University, Nakhonpathom 73140, Thailand
Konrawut Khammahawong
Applied Mathematics for Science and Engineering Research Unit, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathum Thani 12110, Thailand

Abstract

The goal of this research is to examine a Thakur’s iterative approach for a noncyclic relatively Suzuki’s nonexpansive with a projection mapping in the famework of convex uniformly Banach space. Using this iteration as a base, we offer a few sufficient conditions and useful lemma to ensure the convergence of a best proximity pair for a mapping. We also provide a case study to illustrate the main results with numerical simulation for this algorithm.

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How to Cite
Nawitcha Onjai-Uea, Thanyarat Jitpeera, Chirasak Mongkolkeha, & Konrawut Khammahawong. (2024). Convergence of Best proximity pair for noncyclic Suzuki’s relatively nonexpansive with numerical simulation. Science & Technology Asia, 29(1), 14–28. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/250917
Issue
Vol.29 No.1 (January-March 2024)
Section
Physical sciences
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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