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Meir–Keeler Fixed-Point Theorems in Tripled Fuzzy Metric Spaces

Author

Listed:
  • Hui Yang

    (Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China)

Abstract

In this paper, we first propose the concept of a family of quasi- G -metric spaces corresponding to the tripled fuzzy metric spaces (or G -fuzzy metric spaces). Using their properties, we give the characterization of tripled fuzzy metrics. Second, we introduce the notion of generalized fuzzy Meir–Keeler-type contractions in G -fuzzy metric spaces. With the aid of the proposed notion, we show that every orbitally continuous generalized fuzzy Meir–Keeler-type contraction has a unique fixed point in complete G -fuzzy metric spaces. In the end, an example illustrates the validity of our results.

Suggested Citation

  • Hui Yang, 2023. "Meir–Keeler Fixed-Point Theorems in Tripled Fuzzy Metric Spaces," Mathematics, MDPI, vol. 11(24), pages 1-18, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4962-:d:1300460
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