Results 231 to 240 of about 7,133 (253)

Pretopologies, preuniformities and probabilistic metric spaces

Acta Mathematica Hungarica, 2006
A pretopology on a given set can be generated from a filter of reflexive relations on that set (we call such a structure a preuniformity). We show that the familly of filters inducing a given pretopology on X form a com- plete lattice in the lattice of filters on X. The smallest and largest elements of that lattice are explicitly given.
Chicourrat, Monique, Charles, Horvath
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Basic theory and applications of probabilistic metric spaces (II)

Applied Mathematics and Mechanics, 1988
zbMATH 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, 2002
The 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.
openaire   +1 more source

Solving a System of Integral Equations in Rectangular Menger Probabilistic Metric Spaces and Rectangular Menger Probabilistic b-Metric Spaces

Symmetry, 2023
António M Lopes, Ehsan Lotfalighasab, Reza Chaharpashlou   +2 more
exaly  

On the Definition of Probabilistic Metric Spaces by Means of Fuzzy Measures

Fuzzy Sets and Systems, 2023
Yasuo Narukawa, Vicenç Torra, Mariam Taha   +2 more
exaly  

Hausdorff distance and the completion of probabilistic metric spaces

1992
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.
openaire   +3 more sources

A Convergence Theory for Probabilistic Metric Spaces

Quaestiones Mathematicae, 2015
Günther Jäger
exaly  

A Fixed Point Theorem for Multivalued Mappings in Probabilistic Metric Spaces and an Application in Fuzzy Metric Spaces

Fuzzy Sets and Systems, 2002
Endre Pap, Olga Hadžić
exaly  

On the completion of probabilistic metric spaces

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1966
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Fixed Point Theory in Probabilistic Metric Spaces

2001
Pap, Endre, Hadžić, Olga
openaire   +1 more source