Fixed point theorem on an orthogonal extended interpolative $ \psi\mathcal{F} $-contraction

Menaha Dhanraj; Arul Joseph Gnanaprakasam; Gunaseelan Mani; Rajagopalan Ramaswamy; Khizar Hyatt Khan; Ola Ashour A. Abdelnaby; Stojan Radenović; Menaha Dhanraj; Arul Joseph Gnanaprakasam; Gunaseelan Mani; Rajagopalan Ramaswamy; Khizar Hyatt Khan; Ola Ashour A. Abdelnaby; Stojan Radenović

doi:10.3934/math.2023825

AIMS Mathematics

2023, Volume 8, Issue 7: 16151-16164. doi: 10.3934/math.2023825

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Research article

Fixed point theorem on an orthogonal extended interpolative $ \psi\mathcal{F} $-contraction

1.
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, India
2.
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
3.
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
4.
Department of Mathematics, Cairo University, Cairo 12613, Egypt
5.
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Belgrad 35 11120, Serbia

Received: 03 February 2023 Revised: 27 March 2023 Accepted: 03 April 2023 Published: 05 May 2023
MSC : 30G35, 46N99, 47H09, 47H10, 54H25

In this paper, we establish the fixed point results for an orthogonal extended interpolative Ciric Reich-Rus type $ \psi\mathcal{F} $-contraction mapping on an orthogonal complete $ \mathfrak{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.
Citation: Menaha Dhanraj, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Rajagopalan Ramaswamy, Khizar Hyatt Khan, Ola Ashour A. Abdelnaby, Stojan Radenović. Fixed point theorem on an orthogonal extended interpolative $ \psi\mathcal{F} $-contraction[J]. AIMS Mathematics, 2023, 8(7): 16151-16164. doi: 10.3934/math.2023825

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Abstract

In this paper, we establish the fixed point results for an orthogonal extended interpolative Ciric Reich-Rus type $ \psi\mathcal{F} $-contraction mapping on an orthogonal complete $ \mathfrak{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.

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