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Research Article | Open Access

Coupled fixed point results for non-expansive mapping and its applications to the fractional order HIV/AIDS model

Kamaleldin Abodayeh1, Mian Bahadur Zada2( ), Muhammad Sarwar1,3, Haroon Rashid3, Saowaluck Chasreechai4,6( ), Thanin Sitthiwirattham5,6
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Department of Mathematics, Government College, Kabal Swat, Khyber Pakhtunkhwa, Pakistan
Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan
Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand
Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand
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Abstract

In this work, we develop certain coupled fixed-point results in Banach space by utilizing the Krasnosel'skii's expansive-type fixed-point results. Additionally, we establish existence and uniqueness conditions for coupled fixed points. Applying these results, we investigate the fractional-order HIV/AIDS model, demonstrating the existence of solutions. Our results contribute to the understanding of complex systems and non linear dynamics.

Keywords

coupled fixed pointmeasure of non-compactnessconvex power condensing operatorHIV/AIDS model
CLC number: 47H10, 54H25

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AIMS Mathematics
Volume 10 Issue 6,
June 2025
Pages 15025-15039
DOI: 10.3934/math.2025674

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Cite this article:
Abodayeh K, Zada MB, Sarwar M, et al. Coupled fixed point results for non-expansive mapping and its applications to the fractional order HIV/AIDS model. AIMS Mathematics, 2025, 10(6): 15025-15039. https://doi.org/10.3934/math.2025674

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Received: 22 February 2025
Revised: 30 May 2025
Accepted: 11 June 2025
Published: 30 June 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)