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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2020, v.27 no.4, pp.207-229
https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.4.207
Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
Handa, Amrish. (2020). EMPLOYING GENERALIZED (𝜓, 𝜃, 𝜑)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS. , 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

한국수학교육학회지시리즈B:순수및응용수학

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