Evaluation of the epi-convergence

descriptionPublicationkeyboard_double_arrow_right Book 11 Nov 2005Embargo end date: 15 Jun 2017 Germany English Publisher:Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik

Authors: Lachout, Petr;

doi: 10.18452/2678

Evaluation of the epi-convergence

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Abstract

The paper presents an equivalent characterization of the epi-convergence of lower semicontinuous functions. The proposed ‘measures’ naturally estimate the distance between optimal values of two optimization programs. A comparison of optimal solutions is more complex. We propose an estimation for a given function which can be taken as the excess of a set over another, being in metric space. Hence, we receive an estimate of the distance between optimal solutions.

Country

Germany

Related Organizations

Humboldt-Universität zu Berlin
Germany

Keywords

ddc:510, 510 Mathematik

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