• 제목/요약/키워드: metric spaces

검색결과 455건 처리시간 0.022초

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

  • Park, Jong-Seo
    • 호남수학학술지
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    • 제33권2호
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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.

STRICT COMMON FIXED POINT THEOREMS FOR HYBRID PAIRS OF MAPPINGS VIA ALTERING DISTANCES AND AN APPLICATION

  • Ali, Javid;Popa, Valeriu;Imdad, Mohammad
    • 호남수학학술지
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    • 제38권2호
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    • pp.213-229
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    • 2016
  • In this paper, we utilize an implicit relation to improve and extend some strict common fixed point results of the existing literature to two pairs of hybrid mappings in 2-metric spaces via altering distances. As an application, we also prove some strict common fixed point theorems for hybrid pairs of mappings satisfying a contractive condition of integral type in 2-metric spaces.

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

  • Handa, Amrish
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제27권4호
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    • pp.207-229
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    • 2020
  • 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.

COUPLED COMMON FIXED POINT THEOREMS FOR A CONTRACTIVE CONDITION OF RATIONAL TYPE IN ORDERED METRIC SPACES

  • Chandok, Sumit
    • Journal of applied mathematics & informatics
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    • 제31권5_6호
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    • pp.643-649
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    • 2013
  • The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a strict mixed g-monotone property satisfying a contractive condition of rational type in the framework of partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.

COMMON FIXED POINT THEOREMS FOR MAPPINGS ON CONE METRIC SPACES

  • Kim, Jeong-Jin;Bae, Jong-Sook;Cho, Seong-Hoon
    • Journal of applied mathematics & informatics
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    • 제30권5_6호
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    • pp.1067-1075
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    • 2012
  • In this paper we generalize the results of Ili$\acute{c}$ and Rako$\check{c}$evi$\acute{c}$. Also, we generalize one of Berinde's results to cone metric spaces. And we introduce the notion of compatible mappings of type (BC), and we establish a common fixed point theorem for these mappings.

COMMON FIXED POINT THEOREMS FOR L-FUZZY MAPPINGS IN b-METRIC SPACES

  • ALI, JAVID;AHMED, M.A.;NAFADI, H.A.
    • Journal of applied mathematics & informatics
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    • 제35권3_4호
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    • pp.231-239
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    • 2017
  • In this paper, we prove common fixed point theorems for $\mathcal{L}$-fuzzy mappings under implicit relation in b-metric spaces. Further, results obtained for an integral type contractive condition. These theorems generalize and improve previous corresponding results.