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

Author

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  • Aftab Hussain
  • Umar Ishtiaq
  • Hamed Al Sulami
  • John Clayton

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 & John Clayton, 2023. "Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words," Advances in Mathematical Physics, Hindawi, vol. 2023, pages 1-9, August.
    • Handle: RePEc:hin:jnlamp:4350504
    DOI: 10.1155/2023/4350504
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