Results 11 to 20 of about 4,445,349 (240)
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.
openaire +3 more sources
Common fixed point theorem for noncompatible maps in probabilistic metric space [PDF]
Surveys in Mathematics and its Applications, 2013 In this paper, we prove a common fixed point theorem for noncompatible maps in probabilistic metric space using implicit relation. Our result does not require either the completeness of the space or continuity of the maps.
Suneel Kumar, Sunny Chauhan, B. D. Pant
doaj +2 more sources
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
doaj +1 more source
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
openaire +3 more sources
Applied General Topology, 2021 A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that ...
Ravindra K. Bisht, Vladimir Rakocević
doaj +1 more source
Fixed point theorem by using ψ–contraction and (ϕ,φ)–contraction in probabilistic 2–metric spaces
Alexandria Engineering Journal, 2020 This research paper investigates and proves some theorems of the fixed point for self–mapping [T:X→X] under (ϕ,ψ)–contractive mappings and (ϕ,φ)–contractive mappings in Menger probabilistic 2–metric space.
H.M. Abu-Donia +2 more
doaj +1 more source
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.
openaire +2 more sources
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
doaj +1 more source
On the probabilistic min spanning tree Problem [PDF]
, 2010 International audienceWe study a probabilistic optimization model for min spanning tree, where any vertex v i of the input-graph G(V, E) has some presence probability p i in the final instance G′ ⊂ G that will effectively be optimized.
Paschos, V.T. +10 more
core +1 more source
New dynamic fixed point results in Menger spaces [PDF]
Surveys in Mathematics and its Applications, 2023 The objective of this paper is to generalize and improve some results in fixed point theorems in both complete metric space and Menger space. These results are generalizations of the analogous ones recently proved by Khojasteh [5], Demma [1], Yildirim ...
Besma Laouadi +4 more
doaj