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On Recent Results Concerning F-Contraction in Generalized Metric Spaces

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Department of Mathematics, Faculty of Sciences, University of Priština-Kosovska Mitrovica, 38220 Kosovska Mitrovica, Serbia
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Faculty of Forestry, University of Belgrade, Kneza Višeslava 1, 11 000 Beograd, Serbia
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Department of Mathematics and Informatics, Faculty of Sciences, University of Kragujevac, Radoja Domanovića 12, 34 000 Kragujevac, Serbia
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Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia
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Authors to whom correspondence should be addressed.
Mathematics 2020, 8(5), 767; https://doi.org/10.3390/math8050767
Received: 16 April 2020 / Revised: 30 April 2020 / Accepted: 7 May 2020 / Published: 11 May 2020
(This article belongs to the Special Issue Quantum Algebras and Operator Theory)
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 Ćirić-type mapping. View Full-Text
Keywords: banach principle; F-contractive mapping; metric space; fixed point; (φ,F)-contraction banach principle; F-contractive mapping; metric space; fixed point; (φ,F)-contraction
MDPI and ACS Style

Vujaković, J.; Mitrović, S.; Pavlović, M.; Radenović, S. On Recent Results Concerning F-Contraction in Generalized Metric Spaces. Mathematics 2020, 8, 767. https://doi.org/10.3390/math8050767

AMA Style

Vujaković J, Mitrović S, Pavlović M, Radenović S. On Recent Results Concerning F-Contraction in Generalized Metric Spaces. Mathematics. 2020; 8(5):767. https://doi.org/10.3390/math8050767

Chicago/Turabian Style

Vujaković, Jelena, Slobodanka Mitrović, Mirjana Pavlović, and Stojan Radenović. 2020. "On Recent Results Concerning F-Contraction in Generalized Metric Spaces" Mathematics 8, no. 5: 767. https://doi.org/10.3390/math8050767

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