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On regular coderivatives in parametric equilibria with non-unique multipliers

  1. 1.
    SYSNO ASEP0384691
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn regular coderivatives in parametric equilibria with non-unique multipliers
    Author(s) Henrion, R. (DE)
    Outrata, Jiří (UTIA-B) RID, ORCID
    Surowiec, T. (DE)
    Number of authors3
    Source TitleMathematical Programming. - : Springer - ISSN 0025-5610
    Roč. 136, č. 1 (2012), s. 111-131
    Number of pages21 s.
    Languageeng - English
    CountryNL - Netherlands
    KeywordsParameterized generalized equation ; Regular and limiting coderivative ; Constant rank CQ ; Mathematical program with equilibrium constraint
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10750506 - UTIA-B (2005-2011)
    UT WOS000311675300006
    EID SCOPUS84870420886
    DOI10.1007/s10107-012-0553-8
    AnnotationThis paper deals with the computation of regular coderivatives of solution maps associated with a frequently arising class of generalized equations (GEs). The constraint sets are given by (not necessarily convex) inequalities, and we do not assume linear independence of gradients to active constraints. The achieved results enable us to state several versions of sharp necessary optimality conditions in optimization problems with equilibria governed by such GEs. The advantages are illustrated by means of examples.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Year of Publishing2013
Number of the records: 1  

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