SECOND-ORDER VARIATIONAL ANALYSIS IN CONIC PROGRAMMING WITH APPLICATIONS TO OPTIMALITY AND STABILITY
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00439413" target="_blank" >RIV/67985556:_____/15:00439413 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/120903221" target="_blank" >http://dx.doi.org/10.1137/120903221</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/120903221" target="_blank" >10.1137/120903221</a>
Alternative languages
Result language
angličtina
Original language name
SECOND-ORDER VARIATIONAL ANALYSIS IN CONIC PROGRAMMING WITH APPLICATIONS TO OPTIMALITY AND STABILITY
Original language description
This paper is devoted to the study of a broad class of problems in conic programming modeled via parameter-dependent generalized equations. In this framework we develop a secondorder generalized differential approach of variational analysis to calculateappropriate derivatives and coderivatives of the corresponding solution maps. These developments allow us to resolve some important issues related to conic programming. They include verifiable conditions for isolated calmness of the considered solution maps, sharp necessary optimality conditions for a class of mathematical programs with equilibrium constraints, and characterizations of tilt-stable local minimizers for cone-constrained problems. The main results obtained in the general conic programmingsetting are specified for and illustrated by the second-order cone programming.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F12%2F0671" target="_blank" >GAP201/12/0671: Variational and numerical analysis in nonsmooth continuum mechanics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Optimization
ISSN
1052-6234
e-ISSN
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Volume of the periodical
25
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
76-101
UT code for WoS article
000352220900004
EID of the result in the Scopus database
2-s2.0-84925422892