A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 567-575.

The aim of this note is to present some second-order Karush–Kuhn–Tucker necessary optimality conditions for vector optimization problems, which modify the incorrect result in ((10), Thm. 3.2).

Reçu le :
Accepté le :
DOI : 10.1051/ro/2017026
Classification : 90C29, 90C46, 49K30
Mots-clés : Second-order regularity conditions, second-order Karush–Kuhn–Tucker optimality conditions, efficient solution, geoffrion properly efficient solution
Kim, Do Sang 1 ; Tuyen, Nguyen Van 1

1 
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     author = {Kim, Do Sang and Tuyen, Nguyen Van},
     title = {A note on second-order {Karush{\textendash}Kuhn{\textendash}Tucker} necessary optimality conditions for smooth vector optimization problems},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {567--575},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {2},
     year = {2018},
     doi = {10.1051/ro/2017026},
     mrnumber = {3880545},
     zbl = {1401.90207},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro/2017026/}
}
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Kim, Do Sang; Tuyen, Nguyen Van. A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 567-575. doi : 10.1051/ro/2017026. http://www.numdam.org/articles/10.1051/ro/2017026/

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