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

ISSN : 1226-0657

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Vol.27 No.4

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EMPLOYING GENERALIZED (ψ,θ,φ)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS

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
2020, v.27 no.4, pp.207-229
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.4.207
Handa, Amrish
Handa,, A. (2020). EMPLOYING GENERALIZED (ψ,θ,φ)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 27(4), 207-229, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.4.207

Abstract

We establish fixed point and multidimensional fixed point results satisfying generalized (𝜓, 𝜃, 𝜑)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypothesis. Our results generalize, extend and modify several well-known results in the literature.

keywords
fixed point, generalized (<tex> ${\psi}$</tex>, <tex> ${\theta}$</tex>, <tex> ${\varphi}$</tex>)-contraction, partially ordered non-Archimedean fuzzy metric spaces, G-non-decreasing mapping, boundary value problem

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

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