Mathematics
(Nov 2022)
Fixed Points on Covariant and Contravariant Maps with an Application
Rajagopalan Ramaswamy,
Gunaseelan Mani,
Arul Joseph Gnanaprakasam,
Ola A. Ashour Abdelnaby,
Vuk Stojiljković,
Slobodan Radojevic,
Stojan Radenović
Affiliations
Rajagopalan Ramaswamy
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Gunaseelan Mani
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Arul Joseph Gnanaprakasam
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India
Ola A. Ashour Abdelnaby
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Vuk Stojiljković
Department of Mathematics, Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia
Slobodan Radojevic
Department of Engineering Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia
Stojan Radenović
Department of Engineering Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia
DOI
https://doi.org/10.3390/math10224385
Journal volume & issue
Vol. 10,
no. 22
Abstract
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Fixed-point results on covariant maps and contravariant maps in a C★-algebra-valued bipolar metric space are proved. Our results generalize and extend some recently obtained results in the existing literature. Our theoretical results in this paper are supported with suitable examples. We have also provided an application to find an analytical solution to the integral equation and the electrical circuit differential equation.
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