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Research Article | Open Access

Some coupled fixed point theorems on multiplicative metric spaces with an application

Baqir Hussain1Saif Ur Rehman1Mohammed M.M. Jaradat2( )Sami Ullah Khan1Muhammad Arshad3
Institute of Numerical Sciences, Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan
Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha 2713, Qatar
Department of Math & State, International Islamic University, Islamabad, Pakistan
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Abstract

This article aims to prove some coupled fixed point (FP) theorems for nonlinear contractive type mapping in multiplicative metric space (MM-space). Our presented work consists of the maximum type and some other expressions in the framework of MM-space. We also provide illustrative examples and an application in support of our generalized results. Our offered results expand and develop a variety of the latest outcomes in the existing literature. Moreover, we present an application of the two Urysohn integral equations to support our work.

CLC number: 47H10, 54H25

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AIMS Mathematics
Pages 14631-14651

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Cite this article:
Hussain B, Rehman SU, Jaradat MM, et al. Some coupled fixed point theorems on multiplicative metric spaces with an application. AIMS Mathematics, 2022, 7(8): 14631-14651. https://doi.org/10.3934/math.2022805

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Received: 04 January 2022
Revised: 28 February 2022
Accepted: 09 March 2022
Published: 15 August 2022
©2022 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)