On second-order optimality conditions in constrained multiobjective optimization
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A10223921" target="_blank" >RIV/61989592:15310/11:10223921 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/11:10068646
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On second-order optimality conditions in constrained multiobjective optimization
Original language description
In this paper we study a multiobjective optimization problem with inequality constraints on finite dimensional spaces. A second-order necessary condition for local weak efficiency is proved under strict differentiability assumptions. We also establish asecond-order sufficient condition for local firm efficiency of order 2 under ${ell}$--stability assumptions. In this way we generalize some corresponding results obtained by P.Q.~Khanh and N.D.~Tuan, and by the authors.
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
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis, Theory, Methods & Applications
ISSN
0362-546X
e-ISSN
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Volume of the periodical
74
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
11
Pages from-to
1372-1382
UT code for WoS article
000285498900032
EID of the result in the Scopus database
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