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://www.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://www.numdam.org/articles/10.1051/ro/2009023/ DO - 10.1051/ro/2009023 LA - en ID - RO_2009__43_4_359_0 ER -
%0 Journal Article %A Bednařík, Dušan %A Pastor, Karel %T Decrease of $C^{1,1}$ property in vector optimization %J RAIRO - Operations Research - Recherche Opérationnelle %D 2009 %P 359-372 %V 43 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2009023/ %R 10.1051/ro/2009023 %G en %F RO_2009__43_4_359_0
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://www.numdam.org/articles/10.1051/ro/2009023/
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