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A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings

Author

Listed:
  • Juan Martínez-Moreno

    (Department of Mathematics, University of Jaén, Campus las Lagunillas s/n, 23071 Jaén, Spain)

  • Dhananjay Gopal

    (Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur 495009, India)

Abstract

In this paper, we define and study the Perov fuzzy metric space and the topology induced by this space. We prove Banach contraction theorems. Moreover, we devised new results for Kramosil and Michálek fuzzy metric spaces. In the process, some results about multidimensional common fixed points as coupled/tripled common fixed point results are derived from our main results.

Suggested Citation

  • Juan Martínez-Moreno & Dhananjay Gopal, 2021. "A Perov Version of Fuzzy Metric Spaces and Common Fixed Points for Compatible Mappings," Mathematics, MDPI, vol. 9(11), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:11:p:1290-:d:568845
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    Cited by:

    1. Monairah Alansari & Yahya Almalki & Muhammad Usman Ali, 2023. "Czerwik Vector-Valued Metric Space with an Equivalence Relation and Extended Forms of Perov Fixed-Point Theorem," Mathematics, MDPI, vol. 11(16), pages 1-14, August.

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