Results 171 to 180 of about 7,719 (190)
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Canadian Mathematical Bulletin, 1994
AbstractLet 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 convergent to epi f.
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AbstractLet 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 convergent to epi f.
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Epi-convergent discretization of the generalized Bolza problem in dynamic optimization
Optimization Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris S. Mordukhovich, Teemu Pennanen
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Metrization of Epi-Convergence: An Application to the Strong Consistency of M-Estimators
Journal of Computational Analysis and Applications, 1999Strong consistency in the class of M-estimators is examined here as an application of epi-convergence, a functional convergence which is particularly suited for the study of convergence of the functions' minimizing values and arguments. Starting from a 1988 paper by J. Dupacova and R.
DALL'AGLIO, MARCO, RACHEV S. T.
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Epi-topology and Epi-convergence for Archimedean Lattice-ordered Groups with Unit
Applied Categorical Structures, 2006The paper deals with the category \(W\) of Archimedean lattice-ordered groups (\(\ell \)-groups) with distinguished weak order unit in which morphisms are \(\ell \)-group homomorphisms preserving units. The authors describe a topological approach to the analysis of the epimorhisms (i.e. right-cancellable morphisms) in \(W\).
Richard N. Ball, Anthony W. Hager
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Epi convergence of double function sequences
2022Summary: In this paper, we introduce and study the concept of epi convergence for double function sequences and establish the equivalence between epi convergence of a sequence of functions and the Kuratowski convergence of their epigraphs.
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Epi-Convergence and Lower and Epi-Upper Semicontinuous Approximations in Distribution
Acta Applicandae Mathematica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Epi-convergence of Integral Functionals Defined on the Space of Measures
1995This paper is concerned with the epi-convergence of integral functionals defined on the space of vector measures with bounded variation with values in a reflexive separable Banach space.
Charles Castaing, Vincent Jalby
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Kybernetika, 2003
Summary: Part II of the paper (for part I, see [the authors, ibid. 39, No. 1, 75--98 (2003; Zbl 1249.90184)]) aims at providing conditions which may serve as a bridge between existing stability assertions and asymptotic results in probability theory and statistics.
Silvia Vogel, Petr Lachout
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Summary: Part II of the paper (for part I, see [the authors, ibid. 39, No. 1, 75--98 (2003; Zbl 1249.90184)]) aims at providing conditions which may serve as a bridge between existing stability assertions and asymptotic results in probability theory and statistics.
Silvia Vogel, Petr Lachout
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STATISTICAL EPI-CONVERGENCE IN SEQUENCES OF FUNCTIONS
In this paper, statistical epi-limit is defined by using epigraphs in order to increase sensitivity by eliminating outliers for mathematical problems. Various characterizations of statistical epi-convergence and their relations are given and it is compared with statistical convergence.Sever, Yurdal, Talo, Ozer, Tortop, Sukru
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