Results 71 to 80 of about 86 (83)

CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE

Mathematical Models and Methods in Applied Sciences, 2002
We characterize the functionals which are Mosco-limits, in the L2(Ω) topology, of some sequence of functionals of the kind [Formula: see text] where Ω is a bounded domain of ℝN (N ≥ 3). It is known that this family of functionals is included in the closed set of Dirichlet forms. Here, we prove that the set of Dirichlet forms is actually the closure of
Camar-Eddine, M., Seppecher, Pierre
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Minimizers of the limit of Mosco converging functions

Archiv der Mathematik, 2005
The author gives a characterization of minimizers of a function \(f\) defined on a Banach space \(E\) which is the limit of the Moscow converging sequence \(\{f_n\}\) of lower semicontinuous functions. It is shown that any minimizer of \(f\) is a cluster point of a sequence of ``almost'' minimizers of the functions \(f_n\).
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Mosco convergence of integral functionals and its applications

Sbornik: Mathematics, 2009
Questions relating to the Mosco convergence of integral functionals defined on the space of square integrable functions taking values in a Hilbert space are investigated. The integrands of these functionals are time-dependent proper, convex, lower semicontinuous functions on the Hilbert space.
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Mosco Convergence and Large Deviations

1992
The techniques of convex analysis have come to play an increasingly important role in the theory of large deviations (see, e.g., Bahadur and Zabell, 1979; Ellis, 1985; de Acosta, 1988). The purpose of this brief note is to point out an interesting connection between a basic form of convergence commonly employed in convex analysis (“Mosco convergence”),
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Mosco convergence of SLLN for triangular arrays of rowwise independent random sets

Statistics & Probability Letters, 2013
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Quang, Nguyen Van, Giap, Duong Xuan
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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(
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The slice topology: a viable alternative to mosco convergence in nonreflexive spaces

Nonlinear Analysis: Theory, Methods & Applications, 1992
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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, Zhou Wei
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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 ...
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Inverse problems in irregular domains: approximation via Mosco convergence

We consider inverse problems in an irregular domain $\Omega$ and their suitable approximations, respectively. Under suitable assumptions, after stating well-posedness results, we prove that the solutions of the approximating problems converge to the solution of the problem on $\Omega$ via Mosco convergence. We also present some applications.
Creo, Simone, Lancia, Maria, Mola, Gianluca, Romanelli, Silvia   +3 more
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