Results 11 to 20 of about 205,855 (287)
On compactness of probabilistic metric space
Applied Mathematical Sciences, 2014 In this paper we show that every separable probabilistic metric space admits a compatible precompact probabilistic metric and that a probabilistic metric space is compact if and only if is precompact and complete. Finally we give a generalization Niemytzki-Tychonoff theorem [1] to probabilistic metric spaces.
A. Mbarki, A. Ouahab, Naciri Rachid
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The complexity probabilistic quasi-metric space
Journal of Mathematical Analysis and Applications, 2011 We introduce and study a probabilistic quasi-metric on the set of complexity functions, which provides an efficient framework to measure the distance from a complexity function f to another one g in the case that f is asymptotically more efficient than g.
S. Romaguera, P. Tirado
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Quantale-valued Cauchy tower spaces and completeness
Applied General Topology, 2021 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 quantale-valued convergence tower ...
Gunther Jäger, T. M. G. Ahsanullah
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Probabilistic approach spaces [PDF]
Mathematica Bohemica, 2017 We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function.
Gunther Jäger
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Applied General Topology, 2021 A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that ...
Ravindra K. Bisht, Vladimir Rakocević
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Ordered probabilistic metric spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989 AbstractProbabilistic quasi-metric spaces are introduced and used to define ordered probabilistic metric spaces. The latter spaces arise naturally in the study of probability and statistics; they closely resemble the uniform ordered spaces of L. Nachbin.
Kent, D. C., Richardson, G. D.
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Probabilistic metric spaces as enriched categories [PDF]
Fuzzy Sets and Systems, 2013 In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.
Hofmann, Dirk, Reis, Carla David
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Betweenness relations in probabilistic metric spaces [PDF]
Pacific Journal of Mathematics, 1979 Four distinct versions of the betweenness concept for probabilistic metric spaces are defined and studied. Conditions under which some or all of the properties of metric betweenness are satisfied are determined and the relationships among the different concepts are investigated. 1* Introduction.
Moynihan, R., Schweizer, B.
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Further results on strong λ-statistical convergence of sequences in probabilistic metric spaces
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper we study some basic properties of strong λ-statistical convergence of sequences in probabilistic metric spaces. Also introducing the concept of strong λ-statistically Cauchy sequences we study its relationship with strong λ-statistical ...
P. Malik, Samiran Das
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Symmetry, 2022 This work introduces the concepts of rectangular Menger probabilistic metric (RMPM) space and rectangular Menger probabilistic b-metric (RMPbM) space as generalizations of the Menger probabilistic metric space and the Menger probabilistic b-metric space,
E. L. Ghasab +2 more
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