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Interpolative Meir–Keeler Mappings in Modular Metric Spaces

Author

Listed:
  • Erdal Karapınar

    (Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot 75000, Vietnam
    Department of Mathematics, Çankaya University, Etimesgut, Ankara 06790, Turkey
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Andreea Fulga

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500123 Brasov, Romania)

  • Seher Sultan Yeşilkaya

    (Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot 75000, Vietnam)

Abstract

Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular metric spaces. In particular, we examine the existence of interpolative Meir–Keeler contraction types via admissible mappings for fixed point theory. Our results bring together several results available in the current corresponding literature.

Suggested Citation

  • Erdal Karapınar & Andreea Fulga & Seher Sultan Yeşilkaya, 2022. "Interpolative Meir–Keeler Mappings in Modular Metric Spaces," Mathematics, MDPI, vol. 10(16), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2986-:d:891969
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