• Title/Summary/Keyword: fuzzy compatible

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COMMON FIXED POINT THEOREMS WITHOUT CONTINUITY AND COMPATIBILITY IN INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • Honam Mathematical Journal
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    • v.33 no.2
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    • pp.143-152
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    • 2011
  • In this paper, we prove some common fixed point theorems for finite number of discontinuous, non-compatible mapping on non-complete intuitionistic fuzzy metric spaces and obtain the example. Our research improve, extend and generalize several known results in intuitionistic fuzzy metric spaces.

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].

COMMON FIXED POINT THEOREMS IN G-FUZZY METRIC SPACES WITH APPLICATIONS

  • Tiwari, Rakesh;Rajput, Shraddha
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.5
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    • pp.971-983
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    • 2021
  • In this paper, we prove common fixed point theorems for six weakly compatible mappings in G-fuzzy metric spaces introduced by Sun and Yang [16] which is actually generalization of G-metric spaces. G-metric spaces coined by Mustafa and Sims [13]. The paper concerns our sustained efforts for the materialization of G-fuzzy metric spaces and their properties. We also exercise the concept of symmetric G-fuzzy metric space, 𝜙-function and weakly compatible mappings. The results present in this paper generalize the well-known comparable results in the literature. We justify our results by suitable examples. Some applications are also given in support of our results.

COMMON FIXED POINTS WITHOUT CONTINUITY IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;DESHPANDE BHAVANA
    • The Pure and Applied Mathematics
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    • v.12 no.4 s.30
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    • pp.289-306
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    • 2005
  • The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.

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COMMON FIXED POINT THEOREMS FOR HYBRID MAPS IN NON-ARCHIMEDEAN FUZZY METRIC SPACES

  • Samanta, T.K.;Mohinta, Sumit
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.155-164
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    • 2013
  • In this paper, we have established some common fixed point theorems for two pairs of occasionally weakly compatible hybrid maps sat-isfying a strict contractive condition in a non-archimedean fuzzy metric space. Our result extend, generalized and fuzzify several fixed point theo-rems on metric space.

COMMON FIXED POINT IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;TIWARI JAYESH K.
    • The Pure and Applied Mathematics
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    • v.12 no.1
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    • pp.17-31
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    • 2005
  • In this paper we prove common fixed point theorems for three mappings under the condition of weak compatible mappings, without taking any function continuous in fuzzy metric space and then extend this result to fuzzy 2-metric space and fuzzy 3-metric space.

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