Minimizers of the limit of Mosco converging functions
Archiv der Mathematik, 2005The 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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On multivalued martingales whose values may be unbounded: martingale selectors and mosco convergence
Two results on the existence of martingale selections for a multivalued martingale are proved using classical properties of the projective limit of a sequence of subsets. Also, some further properties of the martingale selections are established. Finally some applications are given.
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Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups
Nonlinear Analysis: Theory, Methods & Applications, 2008The 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, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Văn Quang
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Mosco Convergence and Large Deviations
1992The 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 closed convex subsets and resolvents of maximal monotone operators
Let \(E\) be a strictly convex, reflexive and smooth Banach space and let \(E^*\) denote its dual. The author considers a sequence of maximal monotone operators from \(E\) to \(E^*\) and defines two related sequences of resolvents on \(E\). He obtains convergence results for these resolvents.
泰紀 木村, Yasunori Kimura
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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 +3 more
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Weak convergence of resolvents of maximal monotone operators and Mosco convergence
2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures
Journal of Functional Analysis, 2006Alexander V Kolesnikov
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Mosco Type Convergence of Bilinear Forms and Weak Convergence of n-Particle Systems
Potential Analysis, 2015Jörg-Uwe Lobus
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