• Title/Summary/Keyword: fixed fuzzy point

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Existence and Uniqueness of Solutions for the Fuzzy Differential Equations in n-Dimension Fuzzy Vector Space (n-차원 퍼지벡터공간에서의 퍼지미분방정식에 대한 해의 존재성과 유일성)

  • Gwon, Yeong-Cheol;Kim, Oe-Hyeon;Park, Dong-Geun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.23-25
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    • 2008
  • In this paper, we study the existence and uniqueness of solutions for the fuzzy differential equations in ${(E_N)^n}$ using by Banach fixed point theorem. ${(E_N)^n}$ is n-dimension fuzzy vector space.

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APPLICATION OF CONTRACTION MAPPING PRINCIPLE IN INTEGRAL EQUATION

  • Amrish Handa
    • The Pure and Applied Mathematics
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    • v.30 no.4
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    • pp.443-461
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    • 2023
  • In this paper, we establish some common fixed point theorems satisfying contraction mapping principle on partially ordered non-Archimedean fuzzy metric spaces and also derive some coupled fixed point results with the help of established results. We investigate the solution of integral equation and also give an example to show the applicability of our results. These results generalize, improve and fuzzify several well-known results in the recent literature.

A SYSTEM OF FIRST-ORDER IMPULSIVE FUZZY DIFFERENTIAL EQUATIONS

  • Lan, Heng-You
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.111-123
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    • 2008
  • In this paper, we introduce a new system of first-order impulsive fuzzy differential equations. By using Banach fixed point theorem, we obtain some new existence and uniqueness theorems of solutions for this system of first-order impulsive fuzzy differential equations in the metric space of normal fuzzy convex sets with distance given by maximum of the Hausdorff distance between level sets.

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On Some Results for Five Mappings using Compatibility of Type(α) in Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo;Park, Jin-Han;Kwun, Young-Chel
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.8 no.4
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    • pp.299-305
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    • 2008
  • The object of this paper is to introduce the notion of compatible mapping of type(${\alpha}$) in intuitionistic fuzzy metric space, and to establish common fixed point theorem for five mappings in intuitionistic fuzzy metric space. Our research are an extension for the results of [1] and [7].