About: Some Remarks on Stability of Generalized Equations

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian–Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided. The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian–Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided. (en)
Title	Some Remarks on Stability of Generalized Equations Some Remarks on Stability of Generalized Equations (en)
skos:prefLabel	Some Remarks on Stability of Generalized Equations Some Remarks on Stability of Generalized Equations (en)
skos:notation	RIV/67985556:_____/13:00392735!RIV14-GA0-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/12/0671), P(IAA100750802)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2014
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	106350
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/13:00392735
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Parameterized generalized equation; Regular and limiting coderivative; Constant rank CQ; Mathematical program with equilibrium constraints (en)
http://linked.open.../riv/klicoveSlovo	Mathematical program with equilibrium constraints Constant rank CQ Parameterized generalized equation Regular and limiting coderivative
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[62E20C18BDDB]
http://linked.open...i/riv/nazevZdroje	Journal of Optimization Theory and Applications
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 Variational and numerical analysis in nonsmooth continuum mechanics
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	159
http://linked.open...iv/tvurceVysledku	Outrata, Jiří Henrion, R. Kruger, A. Y.
http://linked.open...ain/vavai/riv/wos	000326705900009
issn	0022-3239
number of pages	19 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s10957-012-0147-x

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