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Research Article | Open Access

Fixed point theorems in controlled J −metric spaces

Suhad Subhi Aiadi1,2( ), Wan Ainun Mior Othman2( ), Kok Bin Wong2, Nabil Mlaiki1
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur, Malaysia
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Abstract

In this article, we introduce a new extension to J −metric spaces, called C J −metric spaces, where θ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of linear equations to illustrate our results.

Keywords

fixed pointCJ−metric spaceJ−metric spaces
CLC number: 46T99, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 4753-4763
DOI: 10.3934/math.2023235

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Cite this article:
Aiadi SS, Othman WAM, Wong KB, et al. Fixed point theorems in controlled J −metric spaces. AIMS Mathematics, 2023, 8(2): 4753-4763. https://doi.org/10.3934/math.2023235

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Received: 12 October 2022
Revised: 25 November 2022
Accepted: 02 December 2022
Published: 15 February 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)