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Models for growth of heterogeneous sandpiles via Mosco convergence [PDF]

Asymptotic Analysis, 2012
In this paper we study the asymptotic behavior of several classes of power-law functionals involving variable exponents pn(·)→∞, via Mosco convergence. In the particular case pn(·)=np(·), we show that the sequence {Hn} of functionals Hn:L2(RN)→[0,+∞] given by Hn(u)=∫RNλ(x)n/np(x)|∇u(x)|np(x) dx   if u∈L2(RN)∩W1,np(·)(RN), +∞  otherwise, converges ...
Mihai Mihailescu, Mayte Perez-Llanos
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Convergence of the Associated Sequence of Normal Cones of a Mosco Convergent Sequence of Sets

SIAM Journal on Optimization, 2012
In 1977, Attouch established a relationship between the Mosco epiconvergence of a sequence of convex functions and the graph convergence of the associated sequence of subdifferentials, which has been found to have many important applications in optimization.
Xi Yin Zheng
exaly   +2 more sources

On Mosco Convergence of Diffusion Dirichlet Forms

Theory of Probability and Its Applications, 2009
This paper considers the Mosco convergence of Dirichlet forms ${\cal E}_n(f)=\int|\nabla f|^2\,d\mu_n$, where the measures $\mu_n$ locally converge in variation and it is not necessary to have complete supports.
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The slice topology: a viable alternative to mosco convergence in nonreflexive spaces

Nonlinear Analysis: Theory, Methods & Applications, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerald Beer
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Mosco convergence of set-valued supermartingale

Advances in Operator Theory
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M'Hamed El-Louh
exaly   +3 more sources

Mosco convergence of quasi-regular dirichlet forms

Acta Mathematicae Applicatae Sinica, 1999
The subject of this paper is the Mosco convergence of quasi-regular Dirichlet forms. The author gives a sufficient condition in order that the Mosco limit of a sequence of symmetric quasi-regular Dirichlet forms be quasi-regular. The key point is the uniform tightness of the capacities associated with the corresponding Dirichlet forms. By applying this
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Mosco convergence and weak topologies for convex sets and functions

Mathematika, 1991
Let \({\mathcal C}(X)\) denote the space of closed convex sets in a Banach space. A sequence \((C_ n)\) in \({\mathcal C}(X)\) is said to be Mosco convergent to a closed set \(C\) if (1) every \(c\in C\) is a strong limit of a sequence \((c_ n)\), \(c_ n\in C_ n\); (2) if a vector \(x\) is the weak limit of some sequence \(c_ k\in C_{n(k)}\), where \(n(
Gerald Beer
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Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups

Nonlinear Analysis: Theory, Methods & Applications, 2008
The author proves the Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups \(T(t)\) on a closed convex set of a Banach space with the Opial property. Namely, under the assumption that \(t_n>\tau\geq 0\), \(t_n\to\tau\) as \(n\to\infty\), it is established that the sets of fixed points of \(T(t_n)\) converge in the ...
Tomonari Suzuki
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Mosco convergence of SLLN for triangular arrays of rowwise independent random sets

Statistics and Probability Letters, 2013
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Nguyen Văn Quang
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A note on Mosco convergence in spaces

Canadian Mathematical Bulletin, 2021
AbstractIn this note, we show that in a complete $\operatorname {\mathrm {CAT}}(0)$ space pointwise convergence of proximal mappings under a certain normalization condition implies Mosco convergence.
openaire   +1 more source