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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 ASEP0343961
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleA 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
    Henrion, R. (DE)
    Surowiec, T. (DE)
    Source TitleKybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
    Roč. 46, č. 3 (2010), s. 423-434
    Number of pages12 s.
    Publication formwww - www
    Languageeng - English
    CountryCZ - Czech Republic
    Keywordsmathematical programs with equilibrium constraints ; S-stationary points ; M-stationary points ; Frechet normal cone ; limiting normal cone
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10750506 - UTIA-B (2005-2011)
    UT WOS000280425000008
    AnnotationIn 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.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Year of Publishing2011
Number of the records: 1