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Research Article | Open Access

Quasi M-metric spaces

Irshad Ayoob1,2, Ng Zhen Chuan2, Nabil Mlaiki1( )
Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
School of Mathematics, Universiti Sains Malaysia, 11800 Gelugor, Penang, Malaysia
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Abstract

In this paper, we introduce quasi M-metric spaces as a generalization of M-metric spaces. We establish some fixed point results along with the examples and application of our results to integral equations and system of linear equations.

Keywords

quasi M-metric spacespartial metric spacesM-metric spacesfixed pointintegral equations
CLC number: Primary 47H10, Secondary 54H25

References

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10228-10248
DOI: 10.3934/math.2023518

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Cite this article:
Ayoob I, Chuan NZ, Mlaiki N. Quasi M-metric spaces. AIMS Mathematics, 2023, 8(5): 10228-10248. https://doi.org/10.3934/math.2023518

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Received: 22 November 2022
Revised: 15 February 2023
Accepted: 16 February 2023
Published: 15 May 2023
©2023 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)