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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.30 No.3

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Utilizing Weak ψ-φ Contraction on Fuzzy Metric Spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.3, pp.309-336
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.309
Amrish Handa
Amrish, H. (2023). Utilizing Weak ψ-φ Contraction on Fuzzy Metric Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(3), 309-336, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.309

Abstract

We establish some common fixed point theorems satisfying weak ψ - ϕ contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this results we show the existence of fixed point on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively and also give an example to show the usefulness of our hypothesis. Our results generalize, extend and improve several well-known results of the existing literature in fixed point theory.

keywords
fixed point, coincidence point, coupled fixed point, coupled coincidence point, weak <tex> ${\psi}-{\phi}$</tex> contraction, partially ordered non-Archimedean fuzzy metric spaces, domain of words

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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