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A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints
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SYSNO ASEP 0343961 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints Author(s) Outrata, Jiří (UTIA-B) RID, ORCID
Henrion, R. (DE)
Surowiec, T. (DE)Source Title Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
Roč. 46, č. 3 (2010), s. 423-434Number of pages 12 s. Publication form www - www Language eng - English Country CZ - Czech Republic Keywords mathematical programs with equilibrium constraints ; S-stationary points ; M-stationary points ; Frechet normal cone ; limiting normal cone Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000280425000008 Annotation In this paper, we deal with strong stationarity conditions for mathematical programs with equilibrium constraints (MPEC). The main task in deriving these conditions consists in calculating the Fr´echet normal cone to the graph of the solution mapping associated with the underlying generalized equation of the MPEC. We derive an inner approximation to this cone, which is exact under an additional assumption. Even if the latter fails to hold, the inner approximation can be used to check strong stationarity via the weaker (but easier to calculate) concept of M-stationarity. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2011
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