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Research Article | Open Access

Some new results in F -metric spaces with applications

Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
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Abstract

In this research article, we give the notion of graphic F-contraction in the setting of F -metric space and establish some fixed point results. We also supply some examples to demonstrate the brilliance of the established results. We also establish some fixed point results for orbitally continuous and orbitally G -continuous graphic F-contractions as applications of our main results. Also, we discuss the existence and the uniqueness of solutions of functional equations involving in dynamic programming.

Keywords

fixed pointF-complete metric spacegeneralized contractiongraphsdynamic programming
CLC number: 46S40, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10420-10434
DOI: 10.3934/math.2023528

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Cite this article:
Albargi AH. Some new results in F -metric spaces with applications. AIMS Mathematics, 2023, 8(5): 10420-10434. https://doi.org/10.3934/math.2023528

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Received: 04 January 2023
Revised: 15 February 2023
Accepted: 21 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)