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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F10%3A00343961%21RIV11-AV0-67985556
rdf:type
skos:Concept n10:Vysledek
dcterms:description
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. 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.
dcterms:title
A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints
skos:prefLabel
A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints
skos:notation
RIV/67985556:_____/10:00343961!RIV11-AV0-67985556
n3:aktivita
n6:Z n6:P
n3:aktivity
P(IAA100750802), Z(AV0Z10750506)
n3:cisloPeriodika
3
n3:dodaniDat
n9:2011
n3:domaciTvurceVysledku
n18:5919835
n3:druhVysledku
n15:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
244806
n3:idVysledku
RIV/67985556:_____/10:00343961
n3:jazykVysledku
n12:eng
n3:klicovaSlova
mathematical programs with equilibrium constraints; S-stationary points; M-stationary points; Frechet normal cone; limiting normal cone
n3:klicoveSlovo
n4:mathematical%20programs%20with%20equilibrium%20constraints n4:S-stationary%20points n4:M-stationary%20points n4:Frechet%20normal%20cone n4:limiting%20normal%20cone
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[F89B160C5CF8]
n3:nazevZdroje
Kybernetika
n3:obor
n8:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n14:IAA100750802
n3:rokUplatneniVysledku
n9:2010
n3:svazekPeriodika
46
n3:tvurceVysledku
Surowiec, T. Henrion, R. Outrata, Jiří
n3:wos
000280425000008
n3:zamer
n13:AV0Z10750506
s:issn
0023-5954
s:numberOfPages
12