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

Authors

  • 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

Keywords:

Best proximity pair, Noncyclic mapping, Suzuki’s relatively nonexpansive, Uniformly convex Banach space

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.

References

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Mongkolkeha C, Kumam P. Some common best proximity points for proximity commuting mappings. Optimization Letters. 2013; 7: 1825-36.

Karpagam SS, Agrawal S. Best proximity point theorems for p-cyclic Meir-Keeler contractions. Fixed Point Theory Appl. 2009; Art. ID 197308.

Sadiq Basha S. Best proximity point theorems: An exploration of a common solution to approximation and optimization problems. Applied Mathematics and Computation. 2012;210 (19):9770-80.

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Published

2024-03-29

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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