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Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification

SYSNO ASEP	0393907
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification
Author(s)	Mordukhovich, B. S. (US) Outrata, Jiří (UTIA-B)_{RID, ORCID}
Number of authors	2
Source Title	Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954 Roč. 49, č. 3 (2013), s. 446-464
Number of pages	19 s.
Publication form	Print - P
Language	eng - English
Country	CZ - Czech Republic
Keywords	variational analysis ; second-order theory ; generalized differentiation ; tilt stability
Subject RIV	BA - General Mathematics
R&D Projects	GAP201/12/0671 GA ČR - Czech Science Foundation (CSF)
Institutional support	UTIA-B - RVO:67985556
UT WOS	000322858500006
Annotation	The paper concerns the study of tilt stability of local minimizers in standard problems of nonlinear programming. This notion plays an important role in both theoretical and numerical aspects of optimization and has drawn a lot of attention in optimization theory and its applications, especially in recent years. Under the classical Mangasarian–Fromovitz Constraint Qualification, we establish relationships between tilt stability and some other stability notions in constrained optimization. Involving further the well-known Constant Rank Constraint Qualification, we derive new necessary and sufficient conditions for tilt-stable local minimizers.
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