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Optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints

SYSNO ASEP	0392856
Document Type	J - Journal Article
R&D Document Type	The record was not marked in the RIV
Subsidiary J	Článek ve WOS
Title	Optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints
Author(s)	Flegel, M. L. (DE) Kanzow, Ch. (DE) Outrata, Jiří (UTIA-B)_{RID, ORCID}
Source Title	Set-Valued Analysis - ISSN 0927-6947 Roč. 15, č. 2 (2007), s. 139-162
Number of pages	24 s.
Publication form	Print - P
Language	eng - English
Country	NL - Netherlands
Keywords	disjunctive programs ; mathematical programs with equilibrium ; Guignard constraint qualification
Subject RIV	BA - General Mathematics
R&D Projects	IAA1075402 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
UT WOS	000246185600003
DOI	10.1007/s11228-006-0033-5
Annotation	We consider optimization problems with a disjunctive structure of the feasible set. Using Guignard-type constraint qualifications for these optimization problems and exploiting some results for the limiting normal cone by Mordukhovich, we derive different optimality conditions. Furthermore, we specialize these results to mathematical programs with equilibrium constraints. In particular, we show that a new constraint qualification, weaker than any other constraint qualification used in the literature, is enough in order to show that a local minimum results in a so-called M-stationary point. Additional assumptions are also discussed which guarantee that such an M-stationary point is in fact a strongly stationary point.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2014

Number of the records: 1