한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제30권3호
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  • Pages.309-336
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  • 2023
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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UTILIZING WEAK 𝜓 - 𝜑 CONTRACTION ON FUZZY METRIC SPACES

  • Amrish Handa (Department of Mathematics, Govt. P. G. Arts and Science College)
  • 투고 : 2022.10.06
  • 심사 : 2023.07.08
  • 발행 : 2023.08.31
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초록

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.

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참고문헌

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