Duality and its applications to optimality conditions with nonsolid cones
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA2201I75" target="_blank" >RIV/61988987:17310/18:A2201I75 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s40840-016-0375-6" target="_blank" >https://link.springer.com/article/10.1007/s40840-016-0375-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40840-016-0375-6" target="_blank" >10.1007/s40840-016-0375-6</a>
Alternative languages
Result language
angličtina
Original language name
Duality and its applications to optimality conditions with nonsolid cones
Original language description
In this paper, we first establish the weak, strong, and converse duality theorems for a pair of primal?dual problems in set-valued optimization concerning Q-efficient solutions. Then, duality theorems for quasi-relative efficient solutions and Henig efficient solutions are implied with Q being appropriately chosen cones. Finally, their applications to optimality conditions in the Kuhn?Tucker type are obtained.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
—
Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Bulletin of the Malaysian Mathematical Sciences Society
ISSN
0126-6705
e-ISSN
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Volume of the periodical
41
Issue of the periodical within the volume
2
Country of publishing house
MY - MALAYSIA
Number of pages
16
Pages from-to
1061-1076
UT code for WoS article
000428852200028
EID of the result in the Scopus database
2-s2.0-85044789512