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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
    Druh ASEPJ - Článek v odborném periodiku
    Zařazení RIVJ - Článek v odborném periodiku
    Poddruh JČlánek ve WOS
    NázevA note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints
    Tvůrce(i) Outrata, Jiří (UTIA-B) RID
    Henrion, R. (DE)
    Surowiec, T. (DE)
    Zdroj.dok.Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
    Roč. 46, č. 3 (2010), s. 423-434
    Poč.str.12 s.
    Forma vydáníwww - www
    Jazyk dok.eng - angličtina
    Země vyd.CZ - Česká republika
    Klíč. slovamathematical programs with equilibrium constraints ; S-stationary points ; M-stationary points ; Frechet normal cone ; limiting normal cone
    Vědní obor RIVBA - Obecná matematika
    CEPIAA100750802 GA AV ČR - Akademie věd
    CEZAV0Z10750506 - UTIA-B (2005-2011)
    UT WOS000280425000008
    AnotaceIn 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.
    PracovištěÚstav teorie informace a automatizace
    KontaktMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Rok sběru2011
Počet záznamů: 1