Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification

0393907 - ÚTIA 2014 RIV CZ eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GAP201/12/0671
Institucionální podpora: RVO:67985556
Klíčová slova: variational analysis * second-order theory * generalized differentiation * tilt stability
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.563, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0222590