Results 31 to 40 of about 462 (83)

On convergence of closed convex sets

open access: yes, 2006
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
core   +1 more source

A Note on Epi-Convergence

open access: yes, 1994
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
core   +1 more source

Preservation or not of the maximally monotone property by graph-convergence

open access: yes, 2022
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
core   +1 more source

Topologies associated with Kuratowski-Painlevé convergence of closed sets

open access: yes, 2010
[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
core  

On Properties of Meromorphic Solutions of Certain Difference Painlevé III Equations [PDF]

open access: yes, 2014
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
core   +1 more source

Towards Strong Convergence and Cauchy Sequences in Binary Metric Spaces

open access: yes, 2022
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
core   +1 more source

When is Kuratowski convergence topological?

open access: yes, 1998
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
core  

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

open access: yes, 2015
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
core   +1 more source

The Kuratowski convergence of medial axes and conflict sets

open access: yes, 2022
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
core  

Value distribution of meromorphic solutions of certain difference Painlevé equations

open access: yes, 2010
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
core   +1 more source

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