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Research Article | Open Access

Rational interpolative contractions with applications in extended b-metric spaces

Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan; sarwar@uom.edu.pk, muhmmadfawad123@gmail.com, mrashidghani26@gmail.com
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; nmlaiki@psu.edu.sa
Faculty of Electrical Engineering, University of Banja Luka, Patre 5, Banja Luka 78000, Bosnia and Herzegovina; zoran.mitrovic@etf.unibl.org
College of Science, Northwest A&F University, Yangling 712100, China; zhangqq2019@nwafu.edu.cn
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Abstract

In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-point results were studied in the context of extended b-metric spaces. For the validity of the presented results some examples are given. In the last section an existence theorem is provided to study the existence of a solution for the Fredholm integral equation.

CLC number: 45E99, 47H10, 54H25, 55M20

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AIMS Mathematics
Pages 14043-14061

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Cite this article:
Sarwar M, Fawad M, Rashid M, et al. Rational interpolative contractions with applications in extended b-metric spaces. AIMS Mathematics, 2024, 9(6): 14043-14061. https://doi.org/10.3934/math.2024683

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Received: 03 February 2024
Revised: 01 April 2024
Accepted: 10 April 2024
Published: 18 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)