Some critical remarks of recent results on F-contractions in b-metric spaces

Younis, Mudasir; Fabiano, Nicola; Pantovic, Mirjana; Radenovic, Stojan

doi:10.30495/maca.2022.1948245.1043

Some critical remarks of recent results on F-contractions in b-metric spaces

https://doi.org/10.30495/maca.2022.1948245.1043

Volume 4, Issue 2
Spring 2022

Pages 1-10

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Mudasir Younis ¹

Nicola Fabiano ²

Mirjana Pantovic ³

Stojan Radenovic ⁴

¹ Department of Applied Mathematics, Jammu Kashmir Institute of Mathematical Sciences (An Institute of Higher Excellence), Srinagar-190008, J & K, India

² Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12--14, 11351 Belgrade, Serbia

³ University of Kragujevac, Faculty of Science, Department of Mathematics and Informatics, Radoja Domanovica 12, 34 000 Kragujevac, Serbia

⁴ Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd 35, Serbia

Abstract

In this paper, we analyze, generalize and correct some recent results on F-contractions within b-metric spaces. In all results, our only assumption is the strict growth of the function F: $\left( 0,+\infty \right) \rightarrow \left( -\infty ,+\infty \right) .$

Keywords

F-contraction

generalized metric space