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Nonlinear AnalysisThe probabilistic cone b-metric space is a novel concept that we describe in this study along with some of its fundamental topological properties and instances.
Youssef Achtoun +3 more
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Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces [PDF]
Fixed Point Theory and Applications, 2011 In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi +2 more
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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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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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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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Reordering buffers for general metric spaces [PDF]
, 2010 In the reordering buffer problem, we are given an input sequence of requests for service each of which corresponds to a point in a metric space. The cost of serving the requests heavily depends on the processing order.
Matthias Englert +6 more
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Exploring $\mathcal{F}$-Contraction Maps in Controlled Menger Probabilistic Metric Spaces and Their Applications to Fractional Differential Equations [PDF]
Sahand Communications in Mathematical AnalysisThis paper presents $\mathcal{F}$-contraction mappings in controlled Menger probabilistic metric spaces, extending the concept of Menger probabilistic metric spaces.
Reza Chaharpashlou, Ehsan Lotfali Ghasab
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The syntactic side of autonomous categories enriched over generalised metric spaces [PDF]
Logical Methods in Computer Science, 2023 Programs with a continuous state space or that interact with physical processes often require notions of equivalence going beyond the standard binary setting in which equivalence either holds or does not hold.
Fredrik Dahlqvist, Renato Neves
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