In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of -stability for vector functions.
Mots-clés : $C^{1,1}$ function, ${\ell }$-stable function, generalized second-order directional derivative, Dini derivative, weakly efficient minimizer, isolated minimizer of second-order
@article{RO_2009__43_4_359_0,
author = {Bedna\v{r}{\'\i}k, Du\v{s}an and Pastor, Karel},
title = {Decrease of $C^{1,1}$ property in vector optimization},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {359--372},
publisher = {EDP-Sciences},
volume = {43},
number = {4},
year = {2009},
doi = {10.1051/ro/2009023},
mrnumber = {2573992},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2009023/}
}
TY - JOUR
AU - Bednařík, Dušan
AU - Pastor, Karel
TI - Decrease of $C^{1,1}$ property in vector optimization
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2009
SP - 359
EP - 372
VL - 43
IS - 4
PB - EDP-Sciences
UR - http://archive.numdam.org/articles/10.1051/ro/2009023/
DO - 10.1051/ro/2009023
LA - en
ID - RO_2009__43_4_359_0
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%U http://archive.numdam.org/articles/10.1051/ro/2009023/
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Bednařík, Dušan; Pastor, Karel. Decrease of $C^{1,1}$ property in vector optimization. RAIRO - Operations Research - Recherche Opérationnelle, Tome 43 (2009) no. 4, pp. 359-372. doi : 10.1051/ro/2009023. http://archive.numdam.org/articles/10.1051/ro/2009023/
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