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Research Article | Open Access

On perturbed- S τ -contractions

Ghaziyah Alsahli1( ), Priya Shahi2, Erdal Karapınar3,4( )
Mathematics Department, College of Science, Jouf University, Sakaka P.O.Box 2014. Saudi Arabia
Department of Mathematics, Jaypee Institute of Information Technology, Noida, 201309, India
Department of Mathematics, Atılım University, 06830, İncek, Ankara, Turkey
Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, China
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Abstract

This study aims to present novel fixed-point results within the structure of a newly introduced abstract structure known as perturbed metric spaces. As expected, these spaces naturally extend and generalize the classical metric spaces. Consequently, the key results of this study broaden, refine, and broaden the existing fixed-point results in the published outcomes.

Keywords

abstract metric spacefixed-pointmetric spacesperturbed metric spacesself-mappings
CLC number: 46T99, 47H10, 54H25

References

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 11976-11985
DOI: 10.3934/math.2025541

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Cite this article:
Alsahli G, Shahi P, Karapınar E. On perturbed- S τ -contractions. AIMS Mathematics, 2025, 10(5): 11976-11985. https://doi.org/10.3934/math.2025541

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Received: 26 February 2025
Accepted: 16 May 2025
Published: 15 May 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)