On perturbed-$ \mathcal{S}_{\tau } $-contractions

Ghaziyah Alsahli; Priya Shahi; Erdal Karapınar; Ghaziyah Alsahli; Priya Shahi; Erdal Karapınar

doi:10.3934/math.2025541

AIMS Mathematics

2025, Volume 10, Issue 5: 11976-11985. doi: 10.3934/math.2025541

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On perturbed-$ \mathcal{S}_{\tau } $-contractions

1.
Mathematics Department, College of Science, Jouf University, Sakaka P.O.Box 2014. Saudi Arabia
2.
Department of Mathematics, Jaypee Institute of Information Technology, Noida, 201309, India
3.
Department of Mathematics, Atılım University, 06830, İncek, Ankara, Turkey
4.
Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, China

Received: 26 February 2025 Accepted: 16 May 2025 Published: 23 May 2025
MSC : 46T99, 47H10, 54H25

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.
- abstract metric space,
- fixed-point,
- metric spaces,
- perturbed metric spaces,
- self-mappings
Citation: Ghaziyah Alsahli, Priya Shahi, Erdal Karapınar. On perturbed-$ \mathcal{S}_{\tau } $-contractions[J]. AIMS Mathematics, 2025, 10(5): 11976-11985. doi: 10.3934/math.2025541

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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.

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