Application of Fixed-Point Results to Integral Equation through F-Khan Contraction-Reference-Cited by-同舟云学术

Application of Fixed-Point Results to Integral Equation through F-Khan Contraction

Published:2023-03-22 Issue:3 Volume:15 Page:773
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Gnanaprakasam Arul Joseph¹,Mani Gunaseelan²,Ramaswamy Rajagopalan³^ORCID,Abdelnaby Ola A. Ashour³⁴,Khan Khizar Hyatt³,Radenović Stojan⁵

Affiliation:

1. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, 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, 11120 Belgrade, Serbia

Abstract

In this article, we establish fixed point results by defining the concept of F-Khan contraction of an orthogonal set by modifying the symmetry of usual contractive conditions. We also provide illustrative examples to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with numerical simulation.

Funder

Prince Sattam Bin Abdulaziz University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/773/pdf

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3. Khan, M.S. (1976). A new fixed point theorem for metric space. Rend. Istituto Mat. Univ. Trieste, 69–72.

4. A new fixed point theorem under Suzuki type Z-contraction mappings;Kumam;J. Math. Anal.,2017

5. Generalization of Khan fixed point theorem;Piri;J. Math. Comput. Sci.,2017

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