Results 191 to 200 of about 7,866 (212)

A Note on Epi-Convergence

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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Epi-convergent discretization of the generalized Bolza problem in dynamic optimization

Optimization Letters, 2006
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Boris S. Mordukhovich, Teemu Pennanen
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Epi-convergence of sequences of normal integrands and strong consistency of the maximum likelihood estimator [PDF]

Annals of Statistics, 1996
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Metrization of Epi-Convergence: An Application to the Strong Consistency of M-Estimators

Journal of Computational Analysis and Applications, 1999
Strong 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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Variational properties of EPI-convergence, applications to limit analysis problems in mechanics and duality theory

Lecture Notes in Mathematics, 1984
H Attouch
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Epi convergence of double function sequences

2022
Summary: 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, 2003
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Epi-convergence and duality. Convergence of sequences of marginal and lagrangians functions. Applications to homogenization problems in mechanics

Lecture Notes in Mathematics, 1986
H Attouch
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Epi-convergence of Integral Functionals Defined on the Space of Measures

1995
This 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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Epi-convergent discretizations of multistage stochastic programs via integration quadratures

Mathematical Programming, 2007
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