Results 251 to 260 of about 6,824 (283)
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On φ-contractions in probabilistic and fuzzy metric spaces
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin-Xuan Fang
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Fixed-point theorems for a probabilistic 2-metric spaces
In this paper the notion of contraction mappings on probabilistic metric spaces and probabilistic 2-metric spaces are applied. Several fixed point theorems for such mappings are proved. One of them Theorem 1.1 is a stronger form of a result due to Sehgal
H M Abu-Donia
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Hausdorff distance and the completion of probabilistic metric spaces
The author presents a new method for constructing a completion of a probabilistic metric space (PM-space). The construction uses the probabilistic Hausdorff topology in a natural way to identify a completion of any PM-space with a continuous triangle function.
SEMPI, Carlo
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Probabilistic tracking in a metric space
Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, 2002A new exemplar-based, probabilistic paradigm for visual tracking is presented. Probabilistic mechanisms are attractive because they handle fusion of information, especially temporal fusion, in a principled manner. Exemplars are selected representatives of raw training data, used here to represent probabilistic mixture distributions of object ...
Kentaro Toyama, Andrew Blake 0001
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Probabilistic Tracking with Exemplars in a Metric Space
International Journal of Computer Vision, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kentaro Toyama, Andrew Blake 0001
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2001
In 1942 K. Menger introduced the notion of a statistical metric space as a natural generalization of the notion of a metric space (M, d) in which the distance d(p, q) (p, q ∈ M) between p and q is replaced by a distribution function F p, q ∈ Δ+. F p,q (x) can be interpreted as the probability that the distance between p and q is less than x.
Olga Hadžić, Endre Pap
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In 1942 K. Menger introduced the notion of a statistical metric space as a natural generalization of the notion of a metric space (M, d) in which the distance d(p, q) (p, q ∈ M) between p and q is replaced by a distribution function F p, q ∈ Δ+. F p,q (x) can be interpreted as the probability that the distance between p and q is less than x.
Olga Hadžić, Endre Pap
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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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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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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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Completeness results in probabilistic metric spaces
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alimohammady, Mohsen +2 more
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