Results 31 to 40 of about 462 (83)
On convergence of closed convex sets
In this paper we introduce a convergence concept for closed convex subsets of a finite-dimensional normed vector space. This convergence is called C-convergence. It is defined by appropriate notions of upper and lower limits.
Löhne, Andreas, Zălinescu, Constantin
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Let LSC(X) denote the set of extended real valued lower semicontinuous functions on a metrizable space X. If f, f1, f2, f3,... is a sequence in LSC(X), we say 〈fn〉 is epi-convergent to f provided the sequence of epigraphs 〈epi fn〉 is Kuratowski- Painlevé
Gerald Beer
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Preservation or not of the maximally monotone property by graph-convergence
This paper is dedicated to Professor Roger J-B Wets on the occasion of his 85th birthday. ABSTRACT. In a general real Hilbert space H, given a sequence (A n) n∈N of maximally monotone operators A n : H ⇒ H, which graphically converges to an operator A ...
Rockafellar, Ralph Tyrrell +2 more
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Topologies associated with Kuratowski-Painlevé convergence of closed sets
[EN] The main purpose of this paper is to identify topologies on the closed subsets C(X) of a Hausdorff space X that are sequentially equivalent to classical Kuratowski-Painleve convergence K.
Rodríguez López, Jesús
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On Properties of Meromorphic Solutions of Certain Difference Painlevé III Equations [PDF]
We mainly study the exponents of convergence of zeros and poles of difference and divided difference of transcendental meromorphic solutions for certain difference Painlevé III ...
Shuang-Ting Lan, Zong-Xuan Chen
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Towards Strong Convergence and Cauchy Sequences in Binary Metric Spaces
A Kuratowski topology is a topology specified in terms of closed sets rather than open sets. Recently, the binary metric was introduced as a symmetric, distributive-lattice-ordered magma-valued function of two variables satisfying a “triangle ...
Juan Martínez-Moreno +3 more
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When is Kuratowski convergence topological?
It is known that if a topological space X is locally compact then the Kuratowski convergence on the closed subsets of X is topological. We show that the converse is true, provided that X is quasi-sober.
VITOLO, Paolo
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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The Kuratowski convergence of medial axes and conflict sets
This paper consists of two parts. In the first one we study the behaviour of medial axes (skeletons) of closed sets in a connected complete Riemannian manifold $\mathcal{M}$ under deformations.
Denkowska, Anna +2 more
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Value distribution of meromorphic solutions of certain difference Painlevé equations
The Borel exceptional value and the exponents of convergence of poles, zeros and fixed points of finite order transcendental meromorphic solutions for difference Painlevé I and II equations are estimated.
Chen, Zong-Xuan, Shon, Kwang Ho
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