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Browsing by Subject "Cauchy sequence"

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Browsing by Subject "Cauchy sequence"

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    A characterization of p-complete fuzzy metric spaces 
    Gregori Gregori, Valentín; Miñana, Juan-José; Roig, Bernardino; Sapena Piera, Almanzor (Elsevier, 2022-09-10)
    [EN] George and Veeramani characterized complete fuzzy metric spaces ¿ by means of nested sequences of closed sets of X which have fuzzy diameter zero. According to the concept of p-convergence due to D. Mihet, an appropriate ...
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    A Characterization of Strong Completeness in Fuzzy Metric Spaces 
    Gregori Gregori, Valentín; Miñana, Juan-José; Roig, Bernardino; Sapena Piera, Almanzor (MDPI AG, 2020-06)
    [EN] Here, we deal with the concept of fuzzy metric space(X,M,*), due to George and Veeramani. Based on the fuzzy diameter for a subset ofX, we introduce the notion of strong fuzzy diameter zero for a family of subsets. ...
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    Cauchyness and convergence in fuzzy metric spaces 
    Gregori Gregori, Valentín; Miñana, Juan-José; Morillas, Samuel; Sapena Piera, Almanzor (Springer-Verlag, 2017)
    [EN] In this paper we survey some concepts of convergence and Cauchyness appeared separately in the context of fuzzy metric spaces in the sense of George and Veeramani. For each convergence (Cauchyness) concept we find a ...
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    Fuzzy metric spaces and applications to perceptual colour-differences 
    Miñana Prats, Juan José (Universitat Politècnica de València, 2015-05-21)
    [EN] Fuzzy mathematics has constituted a wide field of research, since L. A. Zadeh introduced in 1965 the concept of fuzzy set. In particular, the problem of constructing a satisfactory theory of fuzzy metric spaces has ...
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    Fuzzy quasi-metrics for the Sorgenfrey line 
    Gregori Gregori, Valentín; Morillas, Samuel; Roig, Bernardino (Elsevier, 2013-07-01)
    [EN] We endow the set of real numbers with a family of fuzzy quasi-metrics, in the sense of George and Veeramani, which are compatible with the Sorgenfrey topology. Although these fuzzy quasi-metrics are not deduced ...
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    On compactness and G-completeness in fuzzy metric spaces 
    Tirado Peláez, Pedro (University of Sistan and Baluchestan, 2012-11)
    [EN] In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec introduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Banach´s ...
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    On Principal Fuzzy Metric Spaces 
    Gregori Gregori, Valentín; Miñana, Juan-José; Morillas, Samuel; Sapena Piera, Almanzor (MDPI AG, 2022-08)
    [EN] In this paper, we deal with the notion of fuzzy metric space (X, M, *), or simply X, due to George and Veeramani. It is well known that such fuzzy metric spaces, in general, are not completable and also that there ...