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The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b -Metric Spaces

Author

Listed:
  • Nikola Savanović

    (Faculty of Informatic and Computing, University Singidunum, Danijelova 32, 11000 Beograd, Serbia)

  • Ivan D. Aranđelović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Beograd, Serbia)

  • Zoran D. Mitrović

    (Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina)

Abstract

In this paper, we obtain the results of coincidence and common fixed points in b -metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent results. Additionally, we give an application of the obtained results to dynamical systems.

Suggested Citation

  • Nikola Savanović & Ivan D. Aranđelović & Zoran D. Mitrović, 2022. "The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b -Metric Spaces," Mathematics, MDPI, vol. 10(6), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:856-:d:766554
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    References listed on IDEAS

    as
    1. Hassen Aydi & Stefan Czerwik, 2018. "Fixed Point Theorems in Generalized b-Metric Spaces," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Modern Discrete Mathematics and Analysis, pages 1-9, Springer.
    2. Stefan Czerwik & Themistocles M. Rassias, 2019. "Fixed Point Theorems for a System of Mappings in Generalized b-Metric Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Mathematical Analysis and Applications, pages 41-51, Springer.
    3. Mohamed Jleli & Bessem Samet & Calogero Vetro & Francesca Vetro, 2015. "Fixed Points for Multivalued Mappings in -Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-7, March.
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