About: Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification (en)
skos:prefLabel	Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification (en)
skos:notation	RIV/67985556:_____/13:00393907!RIV14-GA0-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/12/0671)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Outrata, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	111079
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/13:00393907
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	variational analysis; second-order theory; generalized differentiation; tilt stability (en)
http://linked.open.../riv/klicoveSlovo	generalized differentiation second-order theory tilt stability variational analysis
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[FE65D9758E0A]
http://linked.open...i/riv/nazevZdroje	Kybernetika
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Variational and numerical analysis in nonsmooth continuum mechanics
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	49
http://linked.open...iv/tvurceVysledku	Outrata, Jiří Mordukhovich, B. S.
http://linked.open...ain/vavai/riv/wos	000322858500006
issn	0023-5954
number of pages	19 (xsd:int)

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