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On regular coderivatives in parametric equilibria with non-unique multipliers
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SYSNO ASEP 0384691 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On 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 authors 3 Source Title Mathematical Programming. - : Springer - ISSN 0025-5610
Roč. 136, č. 1 (2012), s. 111-131Number of pages 21 s. Language eng - English Country NL - Netherlands Keywords Parameterized generalized equation ; Regular and limiting coderivative ; Constant rank CQ ; Mathematical program with equilibrium constraint Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000311675300006 EID SCOPUS 84870420886 DOI https://doi.org/10.1007/s10107-012-0553-8 Annotation This 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2013
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