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Fixed Point Theorems for a System of Mappings in Generalized b-Metric Spaces

In: Mathematical Analysis and Applications

Author

Listed:
  • Stefan Czerwik

    (Silesian University of Technology)

  • Themistocles M. Rassias

    (National Technical University of Athens)

Abstract

In this paper we present some results of both global and local type on the existence of fixed points for a system of mappings in generalized b-metric spaces. In particular, we obtain a strict generalization of the Banach contraction principle for mappings in ordinary complete metric spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:spochp:978-3-030-31339-5_3
    DOI: 10.1007/978-3-030-31339-5_3
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    Cited by:

    1. 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.

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