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Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces

Author

Listed:
  • Antonio Francisco Roldán López de Hierro

    (Department of Statistics and Operations Research, University of Granada, 18010 Granada, Spain
    These authors equally contributed to this work.)

  • Andreea Fulga

    (Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania
    These authors equally contributed to this work.)

  • Erdal Karapınar

    (Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot 820000, Binh Duong, Vietnam
    Department of Mathematics, Çankaya University, Etimesgut 06790, Ankara, Turkey
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    These authors equally contributed to this work.)

  • Naseer Shahzad

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    These authors equally contributed to this work.)

Abstract

Very recently, Proinov introduced a great family of contractions in the setting of complete metric spaces that has attracted the attention of many researchers because of the very weak conditions that are assumed on the involved functions. Inspired by Proinov’s results, in this paper, we introduce a new class of contractions in the setting of fuzzy metric spaces (in the sense of George and Veeramani) that are able to translate to this framework the best advantages of the abovementioned auxiliary functions. Accordingly, we present some results about the existence and uniqueness of fixed points for this class of fuzzy contractions in the setting of non-Archimedean fuzzy metric spaces.

Suggested Citation

  • Antonio Francisco Roldán López de Hierro & Andreea Fulga & Erdal Karapınar & Naseer Shahzad, 2021. "Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces," Mathematics, MDPI, vol. 9(14), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1594-:d:589869
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