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).
Accepté le :
DOI : 10.1051/ro/2017026
Mots clés : Second-order regularity conditions, second-order Karush–Kuhn–Tucker optimality conditions, efficient solution, geoffrion properly efficient solution
@article{RO_2018__52_2_567_0, 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://archive.numdam.org/articles/10.1051/ro/2017026/} }
TY - JOUR AU - Kim, Do Sang AU - Tuyen, Nguyen Van TI - A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 567 EP - 575 VL - 52 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2017026/ DO - 10.1051/ro/2017026 LA - en ID - RO_2018__52_2_567_0 ER -
%0 Journal Article %A Kim, Do Sang %A Tuyen, Nguyen Van %T A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 567-575 %V 52 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2017026/ %R 10.1051/ro/2017026 %G en %F RO_2018__52_2_567_0
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://archive.numdam.org/articles/10.1051/ro/2017026/
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