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Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification
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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, ORCIDNumber 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. 446-464Number 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
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