Results 271 to 280 of about 23,525 (295)

Complete probabilistic metric spaces

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971
Menger [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 Metric Spaces

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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Completeness results in probabilistic metric spaces

Chaos, Solitons & Fractals, 2009
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Alimohammady, Mohsen, Esmaeli, Abdolreza, Saadati, Reza   +2 more
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Basic theory and applications of probabilistic metric spaces (II)

Applied Mathematics and Mechanics, 1988
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On Generalized Contractions in Probabilistic Metric Spaces

AIP Conference Proceedings, 2011
In 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, Ciprian Hedrea, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi   +5 more
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On the theory of probabilistic metric spaces with applications

Acta Mathematica Sinica, 1985
The purpose of this paper is to investigate the theory of probabilistic metric spaces and its applications. In {\S} 1 we introduce a kind of Menger probabilistic metric space. By virtue of their basic properties and the Menger-Hausdorff metric defined for this kind of spaces we obtain in {\S} 2 some fixed point theorems for multi-valued mappings on ...
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Solving a System of Integral Equations in Rectangular Menger Probabilistic Metric Spaces and Rectangular Menger Probabilistic b-Metric Spaces

Symmetry, 2023
Ehsan Lotfali Ghasab, Reza Chaharpashlou, Antonio M Lopes   +2 more
exaly  

On extended, and extended rectangular, Menger probabilistic b-metric spaces: applications to the existence of solutions of integral, and fractional differential, equations

Computational and Applied Mathematics, 2023
Reza Chaharpashlou, Ehsan Lotfali Ghasab, Antonio M Lopes   +2 more
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A convergence theory for probabilistic metric spaces

Quaestiones Mathematicae, 2015
GÜNTHER Jäger
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Distance type and common fixed point theorems in Menger probabilistic metric type spaces

Applied Mathematics and Computation, 2015
Afrah A N Abdou, Yeol Je Cho, Reza Saadati   +2 more
exaly