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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F09%3A00326339%21RIV10-AV0-67985556
rdf:type
skos:Concept n11:Vysledek
dcterms:description
The paper deals with co-derivative formulae for normal cone mappings to smooth inequality systems. Both the regular (Linear Independence Constraint Qualification satisfied) and nonregular (Mangasarian-Fromovitz Constraint Qualification satisfied) cases are considered. A major part of the results relies on general transformation formulae previously obtained by Mordukhovich and Outrata. This allows one to derive exact formulae for general smooth, regular and polyhedral, possibly nonregular systems. In the nonregular, nonpolyhedral case a generalized transformation formula by Mordukhovich and Outrata applies, however, a major difficulty consists in checking a calmness condition of a certain multivalued mapping. The paper provides a translation of this condition in terms of much easier to verify constraint qualifications. The final section is devoted to the situation where the calmness condition is violated. A series of examples illustrates the use and comparison of the presented formulae. The paper deals with co-derivative formulae for normal cone mappings to smooth inequality systems. Both the regular (Linear Independence Constraint Qualification satisfied) and nonregular (Mangasarian-Fromovitz Constraint Qualification satisfied) cases are considered. A major part of the results relies on general transformation formulae previously obtained by Mordukhovich and Outrata. This allows one to derive exact formulae for general smooth, regular and polyhedral, possibly nonregular systems. In the nonregular, nonpolyhedral case a generalized transformation formula by Mordukhovich and Outrata applies, however, a major difficulty consists in checking a calmness condition of a certain multivalued mapping. The paper provides a translation of this condition in terms of much easier to verify constraint qualifications. The final section is devoted to the situation where the calmness condition is violated. A series of examples illustrates the use and comparison of the presented formulae.
dcterms:title
On the co-derivative of normal cone mappings to inequality systems On the co-derivative of normal cone mappings to inequality systems
skos:prefLabel
On the co-derivative of normal cone mappings to inequality systems On the co-derivative of normal cone mappings to inequality systems
skos:notation
RIV/67985556:_____/09:00326339!RIV10-AV0-67985556
n3:aktivita
n16:P n16:Z
n3:aktivity
P(IAA1030405), Z(AV0Z10750506)
n3:cisloPeriodika
3-4
n3:dodaniDat
n12:2010
n3:domaciTvurceVysledku
n15:5919835
n3:druhVysledku
n13:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n10:predkladatel
n3:idSjednocenehoVysledku
331490
n3:idVysledku
RIV/67985556:_____/09:00326339
n3:jazykVysledku
n9:eng
n3:klicovaSlova
Mordukhovich coderivative; Normal cone mapping; Calmness; Inequality constraints
n3:klicoveSlovo
n7:Normal%20cone%20mapping n7:Inequality%20constraints n7:Calmness n7:Mordukhovich%20coderivative
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[D8DC0E2D6B6A]
n3:nazevZdroje
Nonlinear Analysis: Theory, Methods & Applications
n3:obor
n17:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n14:IAA1030405
n3:rokUplatneniVysledku
n12:2009
n3:svazekPeriodika
71
n3:tvurceVysledku
Henrion, R. Outrata, Jiří Surowiec, T.
n3:wos
000266699600051
n3:zamer
n4:AV0Z10750506
s:issn
0362-546X
s:numberOfPages
14