Results 261 to 270 of about 1,757,856 (287)
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2003
This is a presentation without proofs of the key facts about the topology of Probabilistic Metric spaces, Probabilistic Normed spaces and Probabilistic Inner Product spaces.
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This is a presentation without proofs of the key facts about the topology of Probabilistic Metric spaces, Probabilistic Normed spaces and Probabilistic Inner Product spaces.
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Complete probabilistic metric spaces
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971Menger [4] initiated the study of probabilistic metric spaces in 1942. A probabilistic metric space (briefly a PM space) is a space in which the "distance" between any two points is a probability distribution function. These spaces are assumed to satisfy axioms which are quite similar to the axioms satisfied in an ordinary metric space.
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Probabilistic enhancement of approximate indexing in metric spaces
Information Systems, 2013Abstract Some approximate indexing schemes have been recently proposed in metric spaces which sort the objects in the database according to pseudo-scores. It is known that (1) some of them provide a very good trade-off between response time and accuracy, and (2) probability-based pseudo-scores can provide an optimal trade-off in range queries if the ...
Takao Murakami +3 more
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Expansion semigroups in probabilistic metric spaces
, 2011 . We present some new results on the existence and the approximation of common fixed point of expansive mappings and semigroups in probabilistic metric ...
Mbarki, A., Ouahab, A., Tahiri, I.
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On Generalized Contractions in Probabilistic Metric Spaces
AIP Conference Proceedings, 2011In this paper, we introduce a generalized concept of contraction in probabilistic metric spaces. Coincidence and fixed point theorems for mappings with this contraction property are proved and particular cases are analyzed.
Ioan Goleţ +5 more
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Basic theory and applications of probabilistic metric spaces (II)
Applied Mathematics and Mechanics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the isometric isomorphism of probabilistic metric spaces
Applied Mathematics and Mechanics, 2002The article is devoted to isomorphisms of probabilistic metric spaces. Two theorems are proved: Theorem 1. If a probabilistic metric space \((E,F)\) is isometrically isomorphic to a generating space of a quasi-metric family, then there is a probabilistic metric space \((E',F')\) such tha t\((E,F)\) is isometrically isomorphic to \((E',F')\). Theorem 2.
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A convergence theory for probabilistic metric spaces
Quaestiones Mathematicae, 2015We develop a theory of probabilistic convergence spaces based on Tardiff’s neighbourhood systems for probabilistic metric spaces. We show that the resulting category is a topological universe and we characterize a subcategory that is isomorphic to the category of probabilistic metric spaces.Keywords: Probabilistic metric space, probabilistic ...
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On the definition of probabilistic metric spaces by means of fuzzy measures
Fuzzy Sets and Systems, 2023Yasuo Narukawa +2 more
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