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Research Article | Open Access

Fixed point theorem on an orthogonal extended interpolative ψ F -contraction

Menaha Dhanraj1, Arul Joseph Gnanaprakasam1( ), Gunaseelan Mani2, Rajagopalan Ramaswamy3( ), Khizar Hyatt Khan3, Ola Ashour A. Abdelnaby3,4, Stojan Radenović5
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, India
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics, Cairo University, Cairo 12613, Egypt
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Belgrad 35 11120, Serbia
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Abstract

In this paper, we establish the fixed point results for an orthogonal extended interpolative Ciric Reich-Rus type ψ F -contraction mapping on an orthogonal complete b -metric spaces and give an example to strengthen our main results. Furthermore, we present an application to fixed point results to find analytical solutions for functional equation.

Keywords

complete b-metric spacesfixed pointorthogonal extended interpolative Ciric Reich-Rus type ψF-contraction
CLC number: 30G35, 46N99, 47H09, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16151-16164
DOI: 10.3934/math.2023825

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Cite this article:
Dhanraj M, Gnanaprakasam AJ, Mani G, et al. Fixed point theorem on an orthogonal extended interpolative ψ F -contraction. AIMS Mathematics, 2023, 8(7): 16151-16164. https://doi.org/10.3934/math.2023825

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Received: 03 February 2023
Revised: 27 March 2023
Accepted: 03 April 2023
Published: 15 July 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)