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Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words

Author

Listed:
  • Aftab Hussain
  • Umar Ishtiaq
  • Hamed Al Sulami

Abstract

In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi‐metric spaces, and non‐Archimedean fuzzy strong controlled quasi‐metric spaces and generalize the famous Banach contraction principle. We prove several fixed point results in the context of non‐Archimedean fuzzy strong controlled quasi‐metric space. Furthermore, we use our main result to obtain the existence of a solution for a recurrence problem linked with the study of Quicksort algorithms.

Suggested Citation

  • Aftab Hussain & Umar Ishtiaq & Hamed Al Sulami, 2023. "Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words," Advances in Mathematical Physics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlamp:v:2023:y:2023:i:1:n:4350504
    DOI: 10.1155/2023/4350504
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    References listed on IDEAS

    as
    1. Mi Zhou & Naeem Saleem & Xiaolan Liu & Andreea Fulga & Antonio Francisco Roldán López de Hierro, 2021. "A New Approach to Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces," Mathematics, MDPI, vol. 9(23), pages 1-21, November.
    2. Babak Mohammadi & Azhar Hussain & Vahid Parvaneh & Naeem Saleem & Rogheieh Jalal Shahkoohi & Ljubisa Kocinac, 2021. "Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-11, May.
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