Fixed point theorem on an orthogonal extended interpolative $ \psi\mathcal{F} $-contraction-Reference-Cited by-同舟云学术

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

Published:2023 Issue:7 Volume:8 Page:16151-16164
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Dhanraj Menaha¹,Gnanaprakasam Arul Joseph¹,Mani Gunaseelan²,Ramaswamy Rajagopalan³,Khan Khizar Hyatt³,Abdelnaby Ola Ashour A.³⁴,Radenović Stojan⁵

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference38 articles.

1. S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equations untegrales, Fundam. Math., 3 (1922), 133–181.

2. S. K. Chatterjea, Fixed point theorems, C. R. Acad. Bulgare Sci., 25 (1972), 727–730.

3. L. B. Ciric, A generalization of Banach's contraction principle, Proc. Am. Math. Soc., 45 (1974), 267–273.

4. R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc., 60 (1968), 71–76.

5. S. Reich, Kannan's fixed point theorem, Boll. Un. Mat. Ital., 4 (1971), 1–11.

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