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On Calmness of the Argmin Mapping in Parametric Optimization Problems

Klatte, Diethard ; Kummer, Bernd

In: Journal of Optimization Theory and Applications, 2015, vol. 165, no. 3, p. 708-719

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    Titre
    • On Calmness of the Argmin Mapping in Parametric Optimization Problems
    Auteur
    • Klatte, Diethard. IBW, Universität Zürich, Moussonstrasse 15, 8044, Zurich, Switzerland
    • Kummer, Bernd. Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Journal of Optimization Theory and Applications, 2015, vol. 165, no. 3, p. 708-719. Springer US; http://www.springer-ny.com
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:331093
    Summary
    Recently, Cánovas et al. presented an interesting result: the argmin mapping of a linear semi-infinite program under canonical perturbations is calm if and only if some associated linear semi-infinite inequality system is calm. Using classical tools from parametric optimization, we show that the if-direction of this condition holds in a much more general framework of optimization models, while the opposite direction may fail in the general case. In applications to special classes of problems, we apply a more recent result on the intersection of calm multifunctions.