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On the Aubin property of a class of parameterized variational systems
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SYSNO ASEP 0479519 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the Aubin property of a class of parameterized variational systems Author(s) Gfrerer, H. (AT)
Outrata, Jiří (UTIA-B) RID, ORCIDSource Title Mathematical Methods of Operations Research. - : Springer - ISSN 1432-2994
Roč. 86, č. 3 (2017), s. 443-467Number of pages 25 s. Publication form Print - P Language eng - English Country DE - Germany Keywords Aubin property ; Graphical derivative ; Directional limiting coderivative Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects GA15-00735S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000423125800002 EID SCOPUS 85021295338 DOI 10.1007/s00186-017-0596-y Annotation The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class encompasses various types of parameterized variational inequalities/generalized equations with fairly general constraint sets. The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions. The respective formulas have the form of a second-order chain rule and extend the available calculus of directional limiting objects. The suggested procedure is illustrated by means of examples. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
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