New Results on F -Contractions in Complete Metric Spaces

Jelena Vujaković, Nataša Kontrec, Marina Tošić, Nicola Fabiano and Stojan Radenović
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Jelena Vujaković: Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia
Nataša Kontrec: Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia
Marina Tošić: Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia
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
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

Mathematics, 2021, vol. 10, issue 1, 1-13

Abstract: The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F -contraction, while the many authors in their papers still use all tree properties of F -contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F -contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.

Keywords: F -contraction; generalized F -contraction; convex contraction; ?-admissible mapping; triangular ?-admissible mapping; fixed point; ?iri?’s quasi-contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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