About: Full Stability of Locally Optimal Solutions in Second-Order Cone Programs

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper presents complete characterizations of Lipschitzian full stability of locally optimal solutions to second-order cone programs (SOCPs) expressed entirely in terms of their initial data. These characterizations are obtained via appropriate versions of the quadratic growth and strong second-order sufficient conditions under the corresponding constraint qualifications. We also establish close relationships between full stability of local minimizers for SOCPs and strong regularity of the associated generalized equations at nondegenerate points. Our approach is mainly based on advanced tools of second-order variational analysis and generalized differentiation. The paper presents complete characterizations of Lipschitzian full stability of locally optimal solutions to second-order cone programs (SOCPs) expressed entirely in terms of their initial data. These characterizations are obtained via appropriate versions of the quadratic growth and strong second-order sufficient conditions under the corresponding constraint qualifications. We also establish close relationships between full stability of local minimizers for SOCPs and strong regularity of the associated generalized equations at nondegenerate points. Our approach is mainly based on advanced tools of second-order variational analysis and generalized differentiation. (en)
Title	Full Stability of Locally Optimal Solutions in Second-Order Cone Programs Full Stability of Locally Optimal Solutions in Second-Order Cone Programs (en)
skos:prefLabel	Full Stability of Locally Optimal Solutions in Second-Order Cone Programs Full Stability of Locally Optimal Solutions in Second-Order Cone Programs (en)
skos:notation	RIV/67985556:_____/14:00434303!RIV15-GA0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP402/12/1309)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2015
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	17622
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/14:00434303
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	variational analysis; second-order cone programming; full stability of local minimizers; nondegeneracy; strong regularity; quadratic growth; second-order subdifferentials; coderivatives (en)
http://linked.open.../riv/klicoveSlovo	coderivatives full stability of local minimizers nondegeneracy quadratic growth second-order subdifferentials second-order cone programming strong regularity variational analysis
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[53666BB365BD]
http://linked.open...i/riv/nazevZdroje	SIAM Journal on Optimization
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	A Multivalued Approach to Optima and Equilibria in Economics
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	24
http://linked.open...iv/tvurceVysledku	Outrata, Jiří Mordukhovich, B. S. Sarabi, E.
http://linked.open...ain/vavai/riv/wos	000346839800001
issn	1052-6234
number of pages	33 (xsd:int)
http://bibframe.org/vocab/doi	10.1137/130928637

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