Results 91 to 100 of about 103 (101)

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
openaire   +4 more sources

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
openaire   +1 more source

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.
openaire   +1 more source

Mosco convergence of SLLN for triangular arrays of rowwise independent random sets

Statistics & Probability Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Quang, Nguyen Van, Giap, Duong Xuan
openaire   +2 more sources

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(
openaire   +1 more source

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.
openaire   +3 more sources

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 ...
openaire   +2 more sources

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
openaire   +1 more source

Weak convergence of resolvents of maximal monotone operators and Mosco convergence

2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Well-posedness and variational, epi- and mosco convergences

1993
Asen L. Dontchev, Tullio Zolezzi
openaire   +1 more source