On Recent Results Concerning F -Contraction in Generalized Metric Spaces

Jelena Vujaković, Slobodanka Mitrović, Mirjana Pavlović and Stojan Radenović
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Jelena Vujaković: Department of Mathematics, Faculty of Sciences, University of Priština-Kosovska Mitrovica, 38220 Kosovska Mitrovica, Serbia
Slobodanka Mitrović: Faculty of Forestry, University of Belgrade, Kneza Višeslava 1, 11 000 Beograd, Serbia
Mirjana Pavlović: Department of Mathematics and Informatics, Faculty of Sciences, University of Kragujevac, Radoja Domanovića 12, 34 000 Kragujevac, Serbia
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia

Mathematics, 2020, vol. 8, issue 5, 1-12

Abstract: In this manuscript we discuss, consider, generalize, improve and unify several recent results for so-called F -contraction-type mappings in the framework of complete metric spaces. We also introduce ( φ , F ) -weak contraction and establish the corresponding fixed point result. Using our new approach for the proof that a Picard sequence is a Cauchy in metric space, our obtained results complement and enrich several methods in the existing literature. At the end we give one open question for F -contraction of ?iri?-type mapping.

Keywords: banach principle; F -contractive mapping; metric space; fixed point; ( ? , F )-contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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