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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00434303" target="_blank" >RIV/67985556:_____/14:00434303 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/130928637" target="_blank" >http://dx.doi.org/10.1137/130928637</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/130928637" target="_blank" >10.1137/130928637</a>

Result language
angličtina
Original language name
Full Stability of Locally Optimal Solutions in Second-Order Cone Programs
Original language 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 associatedgeneralized equations at nondegenerate points. Our approach is mainly based on advanced tools of second-order variational analysis and generalized differentiation.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP402%2F12%2F1309" target="_blank" >GAP402/12/1309: A Multivalued Approach to Optima and Equilibria in Economics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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