Results 21 to 30 of about 1,197 (175)
Functionals, functors and ultrametric spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2014 We consider different classes of functionals defined on the set of continuous functions on ultrametric spaces. Similarly as in the case of probability measures, idempotent measures, max-min measures and upper semicontinuous capacities we endow the sets ...
Лидия Базилевич +2 more
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On $\ast$-measure monads on the category of ultrametric spaces
Karpatsʹkì Matematičnì Publìkacìï, 2022 The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors.
Kh.O. Sukhorukova, M.M. Zarichnyi
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Ultrametric spaces and logic programming
The Journal of Logic Programming, 2000 Summary: We prove a very general multivalued fixed point theorem for ultrametric spaces which at the same time is a generalization of the multivalued fixed point theorem of Khamsi, Kreinovich and Misane for generalized metric spaces and our (singlevalued) fixed point theorem for ultrametric spaces.
Sibylla Priess-Crampe, Paulo Ribenboim
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A Note on Ultrametric Spaces, Minimum Spanning Trees and the Topological Distance Algorithm
Information, 2020 We relate the definition of an ultrametric space to the topological distance algorithm—an algorithm defined in the context of peer-to-peer network applications.
Jörg Schäfer
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Best Proximity Pairs in Ultrametric Spaces [PDF]
p-Adic Numbers, Ultrametric Analysis and Applications, 2021 In the present paper, we study the existence of best proximity pairs in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A,B)$ has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems.
Chaira, Karim +2 more
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The ultrametrical dynamics for the closed fractal-cluster resource models
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The evolution scenario of the resource distribution in the fractal-cluster systems which are identified as organism on Burdakov's classification is suggested.
Vyacheslav Teodorovich Volov +1 more
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Random ultrametric trees and applications*
ESAIM: Proceedings and Surveys, 2017 Ultrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time.
Lambert Amaury
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Some results on ultrametric 2-normed spaces
Researches in MathematicsIn this paper, we study the ultrametric 2-normed spaces and the ultrametric 2-Banach spaces. In particular, we establish some results on Cauchy sequences in ultrametric 2-normed spaces.
J. Ettayb
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Entropy, 2016 We present a new conceptual approach for modeling of fluid flows in random porous media based on explicit exploration of the treelike geometry of complex capillary networks.
Andrei Khrennikov +2 more
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Ultradiversification of Diversities
Analysis and Geometry in Metric Spaces, 2020 In this paper, using the idea of ultrametrization of metric spaces we introduce ultradiversification of diversities. We show that every diversity has an ultradiversification which is the greatest nonexpansive ultra-diversity image of it.
Haghmaram Pouya, Nourouzi Kourosh
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