Some New Results for (<i>α</i>, <i>β</i>)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations
Hamid Faraji,
Nikola Mirkov,
Zoran D. Mitrović,
Rajagopalan Ramaswamy,
Ola A. Ashour Abdelnaby,
Stojan Radenović
Affiliations
Hamid Faraji
Department of Mathematics, College of Technical and Engineering, Saveh Branch, Islamic Azad University, Saveh 3149968111, Iran
Nikola Mirkov
“Vinča” Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12-14, 11351 Belgrade, Serbia
Zoran D. Mitrović
Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Rajagopalan Ramaswamy
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Ola A. Ashour Abdelnaby
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Stojan Radenović
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Belgrade, Serbia
In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize α,β-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.
