Utilizing Weak ψ-φ Contraction on Fuzzy Metric Spaces

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Govt. P. G. Arts and Science College)

Amrish Handa. (2023). UTILIZING WEAK 𝜓 - 𝜑 CONTRACTION ON FUZZY METRIC SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 30(3), 309-336, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.309

복사

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

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논문 상세

Vol.30 No.3

UTILIZING WEAK &#x1D713; - &#x1D711; CONTRACTION ON FUZZY METRIC SPACES

Utilizing Weak ψ-φ Contraction on Fuzzy Metric Spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학

UTILIZING WEAK 𝜓 - 𝜑 CONTRACTION ON FUZZY METRIC SPACES