The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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EMPLOYING GENERALIZED (𝜓, 𝜃, 𝜑)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS

  • Handa, Amrish (Department of Mathematics, Govt. P. G. Arts and Science College)
  • Received : 2019.10.05
  • Accepted : 2020.11.21
  • Published : 2020.11.30
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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.

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References

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