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Research Article | Open Access

Application of fixed point results in the setting of F -contraction and simulation function in the setting of bipolar metric space

Gunaseelan Mani1, Rajagopalan Ramaswamy2( ), Arul Joseph Gnanaprakasam3, Vuk Stojiljković4, Zaid. M. Fadail5, Stojan Radenović6
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, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, India
Faculty of Science, University of Novi Sad, Trg Dositeja Obradovicá, 3, Novi Sad 21000, Serbia
Department of Mathematics, Faculty of Education, Thamar University, Thamar 87246, Republic of Yemen
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Belgrad 11120, Serbia
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Abstract

In the present work, simulation function is applied to establish fixed point results of F -contraction in the setting of Bi-polar metric space. Our results are extensions or generalizations of results proved in the literature. The derived results are substantiated with suitable examples and an application to find the solution to the integral equation.

Keywords

simulation functionfixed pointBPMS
CLC number: 47H9, 47H10, 30G35, 46N99, 54H25

References

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 3269-3285
DOI: 10.3934/math.2023168

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Cite this article:
Mani G, Ramaswamy R, Gnanaprakasam AJ, et al. Application of fixed point results in the setting of F -contraction and simulation function in the setting of bipolar metric space. AIMS Mathematics, 2023, 8(2): 3269-3285. https://doi.org/10.3934/math.2023168

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Received: 06 October 2022
Revised: 02 November 2022
Accepted: 06 November 2022
Published: 15 February 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)