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On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
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SYSNO ASEP 0463357 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications Author(s) Gfrerer, H. (AT)
Outrata, Jiří (UTIA-B) RID, ORCIDNumber of authors 2 Source Title Mathematics of Operations Research - ISSN 0364-765X
Roč. 41, č. 4 (2016), s. 1535-1556Number of pages 21 s. Publication form Print - P Language eng - English Country US - United States Keywords parameterized generalized equation ; graphical derivative ; regular coderivative ; mathematical program with equilibrium constraints Subject RIV BA - General Mathematics R&D Projects GAP402/12/1309 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000393130800017 EID SCOPUS 84994559557 DOI 10.1287/moor.2016.0789 Annotation The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the normal-cone mapping related to C2 inequality constraints under very weak qualification conditions. This enables us to provide the graphical derivative and the regular coderivative of the solution map to a class of parameterized generalized equations with the constraint set of the investigated type. On the basis of these results, we finally obtain a characterization of the isolated calmness property of the mentioned solution map and derive strong stationarity conditions for an MPEC with control constraints. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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