Symmetry
(Mar 2023)
Application of Fixed-Point Results to Integral Equation through <b>F</b>-Khan Contraction
Arul Joseph Gnanaprakasam,
Gunaseelan Mani,
Rajagopalan Ramaswamy,
Ola A. Ashour Abdelnaby,
Khizar Hyatt Khan,
Stojan Radenović
Affiliations
Arul Joseph Gnanaprakasam
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India
Gunaseelan Mani
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Rajagopalan Ramaswamy
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Ola A. Ashour Abdelnaby
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Khizar Hyatt Khan
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Stojan Radenović
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia
DOI
https://doi.org/10.3390/sym15030773
Journal volume & issue
Vol. 15,
no. 3
Abstract
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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.
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