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On the co-derivative of normal cone mappings to inequality systems
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SYSNO ASEP 0326339 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On the co-derivative of normal cone mappings to inequality systems Překlad názvu O koderiva normalově-kuželového zobrazení k systémům nerovnic Tvůrce(i) Henrion, R. (DE)
Outrata, Jiří (UTIA-B) RID
Surowiec, T. (DE)Zdroj.dok. Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
Roč. 71, 3-4 (2009), s. 1213-1226Poč.str. 14 s. Forma vydání www - www Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Mordukhovich coderivative ; Normal cone mapping ; Calmness ; Inequality constraints Vědní obor RIV BA - Obecná matematika CEP IAA1030405 GA AV ČR - Akademie věd CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000266699600051 DOI 10.1016/j.na.2008.11.089 Anotace 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. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2010
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