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Research Article | Open Access

Fixed point results for P-contractive mappings on M-metric space and application

Maide Gökșin Taș1, Duran Türkoğlu1, Ishak Altun2( )
Department of Mathematics, Faculty of Science, Gazi University, 06500, Yenimahalle, Ankara, Turkey
Department of Mathematics, Faculty of Engineering and Natural Science, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey
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Abstract

In this paper, we elucidate a pivotal fixed point theorem for P-contraction mappings defined on M-metric spaces, offering a novel perspective on the interplay between mappings and the underlying space structure. This theorem's significance becomes evident when compared with earlier results, underscoring its potential to enhance our understanding of fixed point theory in M-metric spaces and its broader applications.

Keywords

fixed pointP-contractive mappingM-metric spaceLangevin equation
CLC number: 54H25, 47H10

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 9770-9784
DOI: 10.3934/math.2024478

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Cite this article:
Taș MG, Türkoğlu D, Altun I. Fixed point results for P-contractive mappings on M-metric space and application. AIMS Mathematics, 2024, 9(4): 9770-9784. https://doi.org/10.3934/math.2024478

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Received: 12 November 2023
Revised: 24 January 2024
Accepted: 29 February 2024
Published: 15 April 2024
©2024 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)