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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 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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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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On the theory of probabilistic metric spaces with applications
Acta Mathematica Sinica, 1985The 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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On the definition of probabilistic metric spaces by means of fuzzy measures
Fuzzy Sets and Systems, 2023Yasuo Narukawa +2 more
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On Caristi’s fixed point theorem and completeness of probabilistic metric spaces
Afrika Matematika, 2023Stojan Radenovic, Radenovic S
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Some new fixed point theorems in probabilistic metric spaces
Applied Mathematics and Mechanics (English Edition), 1995Zhu Chuan-Xi, Chuan-Xi Zhu
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A convergence theory for probabilistic metric spaces
Quaestiones Mathematicae, 2015GÜNTHER Jäger
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