Quasi $ M $-metric spaces

Irshad Ayoob; Ng Zhen Chuan; Nabil Mlaiki; Irshad Ayoob; Ng Zhen Chuan; Nabil Mlaiki

doi:10.3934/math.2023518

AIMS Mathematics

2023, Volume 8, Issue 5: 10228-10248. doi: 10.3934/math.2023518

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Research article

Quasi $ M $-metric spaces

1.
Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
2.
School of Mathematics, Universiti Sains Malaysia, 11800 Gelugor, Penang, Malaysia

Received: 22 November 2022 Revised: 15 February 2023 Accepted: 16 February 2023 Published: 27 February 2023
MSC : Primary 47H10, Secondary 54H25

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.
- quasi $ M $-metric spaces,
- partial metric spaces,
- $ M $-metric spaces,
- fixed point,
- integral equations
Citation: Irshad Ayoob, Ng Zhen Chuan, Nabil Mlaiki. Quasi $ M $-metric spaces[J]. AIMS Mathematics, 2023, 8(5): 10228-10248. doi: 10.3934/math.2023518

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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.

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