About: A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints

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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. (en)
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 (en)
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 (en)
skos:notation	RIV/67985556:_____/10:00343961!RIV11-AV0-67985556
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100750802), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Outrata, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	244806
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/10:00343961
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	mathematical programs with equilibrium constraints; S-stationary points; M-stationary points; Frechet normal cone; limiting normal cone (en)
http://linked.open.../riv/klicoveSlovo	Frechet normal cone M-stationary points S-stationary points limiting normal cone mathematical programs with equilibrium constraints
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[F89B160C5CF8]
http://linked.open...i/riv/nazevZdroje	Kybernetika
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Nonsmooth and set-valued analysis in mechanics and thermomechanics
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	46
http://linked.open...iv/tvurceVysledku	Outrata, Jiří Henrion, R. Surowiec, T.
http://linked.open...ain/vavai/riv/wos	000280425000008
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0023-5954
number of pages	12 (xsd:int)
is http://linked.open...avai/riv/vysledek of	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 A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints

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