Results 11 to 20 of about 4,634,933 (288)
Revisiting Probabilistic Metric Spaces
International Journal of TopologyThe field of probabilistic metric spaces has an intrinsic interest based on a blend of ideas drawn from metric space theory and probability theory. The goal of the present paper is to introduce and study new ideas in this field.
Michael D. Rice
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Probabilistic convergence spaces and generalized metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1998 The category PPRS(Δ), whose objects are probabilistic pretopological spaces which satisfy an axiom (Δ) and whose morphisms are continuous mappings, is introduced.
Paul Brock
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Strong statistical convergence in probabilistic metric spaces
Stochastic Analysis and Applications, 2021 In this article, we introduce the concepts of strongly statistically convergent sequence and strong statistically Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts.
Sencimen, C., Pehlivan, S.
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Ordered Probabilistic Metric-Spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989 Probabilistic 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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A representation theorem for probabilistic metric spaces in general [PDF]
Czechoslovak Mathematical Journal, 2000 summary:In this paper, we present a representation theorem for probabilistic metric spaces in ...
Liu, Mingxue, Mingxue Liu
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Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces [PDF]
Surveys in Mathematics and its Applications, 2007 This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson, Albert and Kelly) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric ...
Mariusz T. Grabiec +2 more
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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
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The complexity probabilistic quasi-metric space
Journal of Mathematical Analysis and Applications, 2011 We introduce and study a probabilistic quasi-metric on the set of complexity functions, which provides an efficient framework to measure the distance from a complexity function "f" to another one "g" in the case that "f" is asymptotically more eficient ...
Tirado Peláez, Pedro
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n-Tuplet Coincidence Point Theorems in Partially Ordered Probabilistic Metric Spaces [PDF]
Journal of Function Spaces, 2018 In this paper, we investigate existence of n-tuplet coincidence point theorems in partially ordered probabilistic metric spaces. Also, we gave uniqueness of n-tuplet fixed point theorems in this space.
Arife Aysun Karaaslan, Vatan Karakaya
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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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