Results 61 to 70 of about 507 (79)

Set convergences and uniform convergence of distance functionals on a bornology

For a metric space $(X,d)$, Beer, Naimpally, and Rodriguez-Lopez in ([17]) proposed a unified approach to explore set convergences via uniform convergence of distance functionals on members of an arbitrary family $\mathcal{S}$ of subsets of $X$. The associated topology on the collection $CL(X)$ of all nonempty closed subsets of $(X,d)$ is denoted by ...
Agarwal, Yogesh, Jindal, Varun
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Conveniently Hoelder homomorphisms are smooth in the convenient sense

, 2004
We show that every 'conveniently Hoelder' homomorphism between Lie groups in the sense of convenient differential calculus is smooth (in the convenient sense).
Glockner, Helge
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On the filter bornological convergence of the nested sequences of sets

Filomat
In this work, we show the equivalence of filter bornological convergence and bornological convergence for the nested sequences of sets on topological vector spaces. Then we investigate the filter bornological limit of the nested sequence of sets.
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Mackey convergence and bornological topological modules

Rendiconti Lincei, Matematica e Applicazioni, 2010
Nilson C. Bernardes Jr., Dinamérico P. Pombo Jr.   +1 more
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A study on the dual of $C(X)$ with the topology of (strong) uniform convergence on a bornology

16 ...
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Bornological convergences on local proximity spaces and ωµ −metric spaces

, 2015
2012 - 2013 The main topics of this thesis are local proximity spaces jointly with some bornological convergences naturally related to them, and ωµ −metric spaces, in particular those which are Atsuji spaces (or UC spaces), jointly with their hyperstructures.
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On Linear Bornologies and Linear Convergence Structures

On Linear Bornologies and Linear Convergence Structures
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Gap, Excess and Bornological Convergence

Set-Valued Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beer, G, LEVI, SANDRO
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Bornological Convergence in Locally Convex Cones

Mediterranean Journal of Mathematics, 2015
La notion de cône (la multiplication y est associative, mais non nécessairement commutative) localement convexe est bien connue comme celle de partie d'un espace vectoriel de même nature. On adapte sur un tel cône une structure bornologique classique, dont les AA. développent toutes les caractérisques. -- On regrettera l'absence d'exemples.
Ayaseh, Davood, Ranjbari, Asghar
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Bornological Convergences on the Hyperspace of a Uniformizable Space

Set-Valued and Variational Analysis, 2016
The notion of bornological convergence was introduced by \textit{A. Lechicki} et al. [J. Math. Anal. Appl. 297, No. 2, 751--770 (2004; Zbl 1062.54012)] as a generalization of Attouch-Wets convergence, [\textit{H. Attouch} and \textit{R. J. B. Wets}, Trans. Am. Math. Soc. 280, 1--41 (1983; Zbl 0525.49009)].
ROSA, MARCO, VITOLO, Paolo
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