Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification

0393907 - ÚTIA 2014 RIV CZ eng J - Journal Article
Mordukhovich, B. S. - Outrata, Jiří
Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification.
Kybernetika. Roč. 49, č. 3 (2013), s. 446-464. ISSN 0023-5954
R&D Projects: GA ČR(CZ) GAP201/12/0671
Institutional support: RVO:67985556
Keywords : variational analysis * second-order theory * generalized differentiation * tilt stability
Subject RIV: BA - General Mathematics
Impact factor: 0.563, year: 2013
http://library.utia.cas.cz/separaty/2013/MTR/outrata-tilt stability in nonlinear programming under mangasarian-fromovitz constraint qualification.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0222590