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Browsing by Subject "Completeness"

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Browsing by Subject "Completeness"

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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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    A note on Mackey topologies on Banach spaces 
    Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (Elsevier, 2017)
    [EN] There is a maybe unexpected connection between three apparently unrelated notions concerning a given w*-dense subspace Y of the dual X* of a Banach space X: (i) The norming character of Y, (ii) the fact that (Y, w*) ...
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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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    Compactness in the endograph uniformity 
    Sánchez, Iván (Universitat Politècnica de València, 2024-04-02)
    [EN] Given a uniform space (X,U), we denote by F*(X) to the family of fuzzy sets u in (X,U) such that u is normal and upper semicontinuous. Let UE be the endograph uniformity on F*(X). In this paper, we mainly characterize ...
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    Completeness in the Mackey topology by norming subspaces 
    Guirao Sánchez, Antonio José; Martínez-Cervantes, G.; Rodríguez Ruiz, José (Elsevier, 2019-10-15)
    [EN] We study the class of Banach spaces X such that the locally convex space (X, mu(X,Y)) is complete for every norming and norm-closed subspace Y subset of X*, where mu(X, Y) denotes the Mackey topology on X associated ...
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    Completeness of Hutton [0,1]-quasi-uniformities induced by a crisp uniformity 
    Rodríguez López, Jesús; Romaguera Bonilla, Salvador; Sanchis, M. (2019)
    [EN] In [25], Katsaras introduced a method for constructing a Hutton [0, 1]-quasi-uniformity from a crisp uniformity. In this paper we present other different methods for making this based mainly in the concept of a fuzzy ...
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    Discontinuity at fixed point and metric completeness 
    Bisht, Ravindra K.; Rakocevic, Vladimir (Universitat Politècnica de València, 2020-10-01)
    [EN] In this paper, we prove some new fixed point theorems for a generalized class of Meir-Keeler type mappings, which give some new solutions to the Rhoades open problem regarding the existence of contractive mappings ...
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    Fixed point approximations via generalized MR-Kannan mappings in Banach spaces 
    Bisht, Ravindra K.; Singh, Jay (Universitat Politècnica de València, 2024-04-02)
    [EN] In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our ...
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    Fuzzy Partial Metric Spaces and Fixed Point Theorems 
    Aygün, Halis; Güner, Elif; Miñana, Juan-José; Valero, Oscar (MDPI AG, 2022-09)
    [EN] Partial metrics constitute a generalization of classical metrics for which self-distance may not be zero. They were introduced by S.G. Matthews in 1994 in order to provide an adequate mathematical framework for the ...
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    On completeness in metric spaces and fixed point theorems 
    Gregori Gregori, Valentín; Miñana, Juan-José; Roig, Bernardino; Sapena Piera, Almanzor (Springer-Verlag, 2018-12)
    [EN] Complete ultrametric spaces constitute a particular class of the so called, recently, G-complete metric spaces. In this paper we characterize a more general class called weak G-complete metric spaces, by means of ...
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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 ...
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    Quantale-valued Cauchy tower spaces and completeness 
    Jäger, Gunther; Ahsanullah, T. M. G. (Universitat Politècnica de València, 2021-10-01)
    [EN] Generalizing the concept of a probabilistic Cauchy space, we introduce quantale-valued Cauchy tower spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and ...
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    The consequences of data dispersion in genomics: a comparative analysis of data sources for precision medicine 
    Costa-Sánchez, Mireia; García-Simón, Alberto; Pastor López, Oscar (BioMed Central, 2023-11-09)
    [EN] Background Genomics-based clinical diagnosis has emerged as a novel medical approach to improve diagnosis and treatment. However, advances in sequencing techniques have increased the generation of genomics data dramatically. ...