Results 11 to 20 of about 1,757,856 (287)
Ordered probabilistic metric spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989 AbstractProbabilistic quasi-metric spaces are introduced and used to define ordered probabilistic metric spaces. The latter spaces arise naturally in the study of probability and statistics; they closely resemble the uniform ordered spaces of L. Nachbin.
Kent, D. C., Richardson, G. D.
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Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces
Abstract and Applied Analysis, 2014 We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces.
Chuanxi Zhu, Wenqing Xu, Zhaoqi Wu
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The category of probabilistic metric spaces
Quaestiones MathematicaeThe paper is devoted to a categorical study of the category of probabilistic metric spaces. The study is based on an isomorphic description of the category of probabilistic metric spaces. The isomorphic description was obtained in [3] and is in terms of objects that are sets endowed with a collection of distances, where the distances involved do not ...
Colebunders, Eva, Lowen, Robert
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Designs in Finite Metric Spaces: A Probabilistic Approach [PDF]
Graphs and Combinatorics, 2021 18 ...
Shi, Minjia +2 more
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Quantale-valued Cauchy tower spaces and completeness
Applied General Topology, 2021 Generalizing the concept of a probabilistic Cauchy space, we introduce quantale-valued Cauchy tower spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and quantale-valued convergence tower ...
Gunther Jäger, T. M. G. Ahsanullah
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Common Fixed Point Theory in Modified Intuitionistic Probabilistic Metric Spaces with Common Property (E.A.) [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we define the concepts of modified intuitionistic probabilistic metric spaces, the property (E.A.) and the common property (E.A.) in modified intuitionistic probabilistic metric spaces.Then, by the commonproperty (E.A.), we prove some ...
Hamid Shayanpour, Asiyeh Nematizadeh
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Probabilistic metric spaces as enriched categories [PDF]
Fuzzy Sets and Systems, 2013 In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.
Dirk Hofmann, C. D. Reis
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Four Types of Fixed-Point Theorems for Multifunctions in Probabilistic Metric Spaces
Mathematics, 2021 An overview of fixed-point theorems (F.P.T.s) for multifunctions in probabilistic metric spaces is given. Extensions of the fixed-point theorems on probabilistic metric spaces of Nadler, Hadžić, Itoh, and Miheţ are presented. In the end, some hints about
Endre Pap
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Betweenness relations in probabilistic metric spaces [PDF]
Pacific Journal of Mathematics, 1979 Four distinct versions of the betweenness concept for probabilistic metric spaces are defined and studied. Conditions under which some or all of the properties of metric betweenness are satisfied are determined and the relationships among the different concepts are investigated. 1* Introduction.
Moynihan, R., Schweizer, B.
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Probabilistic approach spaces [PDF]
Mathematica Bohemica, 2017 We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function.
Gunther Jäger
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