On F-Contractions: A Survey

Authors

Nicola Fabiano ''Vinča'' Institute of Nuclear Sciences-National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12-14, 11351 Belgrade, Serbia https://orcid.org/0000-0003-1645-2071
Zoran Kadelburg Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia https://orcid.org/0000-0001-9103-713X
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 https://orcid.org/0000-0002-3057-9784
Vesna Šešum Čavić Faculty of Civil Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Belgrade, Serbia https://orcid.org/0000-0002-0759-0686
Stojan Radenović Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Belgrade, Serbia https://orcid.org/0000-0001-8254-6688

DOI:

https://doi.org/10.37256/cm.3320221517

Keywords:

F-contraction, fixed point, generalized metric space, multivalued mapping

Abstract

D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by introducing F-contractions in metric spaces. In the next ten years, a great number of researchers used Wardowski's approach, or some of its modifications, to obtain new fixed point results for single- and multivalued mappings in various kinds of spaces. In this review article, we present a survey of these investigations, including some improvements, in particular concerning conditions imposed on function F entering the contractive condition.

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