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On continuous convergence and epi-convergence of random functions. II: Sufficient conditions and applications.

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
openaire   +2 more sources

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
openaire   +1 more source

On epi-convergence for set-valued maps

Optimization, 2022
Ruben Lopez, Elvira Hernández
exaly  

A characterization of epi-convergence for lower semicontinuous functions without separability

1999
The paper very clearly proves a generalization of \textit{G. Beer, R. T. Rockafellar} and \textit{J.-B. Wets} [Proc. Am. Math. Soc. 116, No. 3, 753-761 (1992; Zbl 0769.49011)] for a nonseparable metric space \(X\). It is shown for lower semicontinuous functions \(f,f_{1},f_{2},\ldots :X\rightarrow \mathbb{R}\) that the convergence of the sequence of ...
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Criteria for Epi/Hypo Convergence of Finite-Valued Bifunctions

Vietnam Journal of Mathematics, 2015
Phan Quoc Khanh, Khanh Phan Quoc
exaly  

Epi‐consistency of convex stochastic programs

Stochastic and Stochastics Reports, 1991
Alan J KING
exaly  

Smooth representations of epi-Lipschitzian subsets of

Nonlinear Analysis: Theory, Methods & Applications, 1999
Bernard Cornet
exaly  

A Sequential Approach to Ideal Epi-Convergence with Applications to Minimization

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
Şükrü Tortop, Erdinç Dündar
openaire   +1 more source

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