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On Recent Results Concerning F -Contraction in Generalized Metric Spaces

Author

Listed:
  • 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)

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 Ćirić-type mapping.

Suggested Citation

  • Jelena Vujaković & Slobodanka Mitrović & Mirjana Pavlović & Stojan Radenović, 2020. "On Recent Results Concerning F -Contraction in Generalized Metric Spaces," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:767-:d:356597
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