On \({\mathcal{F}}\)-Contractions for Weak ? -Admissible Mappings in Metric-Like Spaces

Jelena Vujaković, Slobodanka Mitrović, Zoran D. Mitrović and Stojan Radenović
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Jelena Vujaković: Faculty of Sciences and Mathematics, University of Priština, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia
Slobodanka Mitrović: Faculty of Forestry, Kneza Višeslava 1, University of Belgrade, 11 030 Beograd, Serbia
Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78 000 Banja Luka, Bosnia and Herzegovina
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia

Mathematics, 2020, vol. 8, issue 9, 1-12

Abstract: In the paper, we consider some fixed point results of F -contractions for triangular ? -admissible and triangular weak ? -admissible mappings in metric-like spaces. The results on F -contraction type mappings in the context of metric-like spaces are generalized, improved, unified, and enriched. We prove the main result but using only the property ( F 1 ) of the strictly increasing mapping F : 0 , + ? ? ? ? , + ? . Our approach gives a proper generalization of several results given in current literature.

Keywords: Banach principle; metric-like space; fixed point theorem; Wardowski type contraction; triangular ? -admissible mapping; triangular weak ? -admissible mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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