TY - JOUR
T1 - Necessary and sufficient conditions for weak efficiency in non-smooth vectorial optimization problems
AU - dos Santos, Lucelina Batista
AU - Brandão, Adilson J.V.
AU - Osuna-Gómez, Rafaela
AU - Rojas-Medar, Marko A.
PY - 2009/11
Y1 - 2009/11
N2 - By using the concepts of local cone approximations and K-directional derivatives, we obtain necessary conditions of optimality for the weak efficiency of the vectorial optimization problems with the inequalities and abstract constraints. We introduce the notion of stationary point (weak and strong) and we prove that, under suitable hypotheses of K-invexity, the stationary points are weakly efficient solutions (global).
AB - By using the concepts of local cone approximations and K-directional derivatives, we obtain necessary conditions of optimality for the weak efficiency of the vectorial optimization problems with the inequalities and abstract constraints. We introduce the notion of stationary point (weak and strong) and we prove that, under suitable hypotheses of K-invexity, the stationary points are weakly efficient solutions (global).
KW - Cone approximate
KW - Directional generalized derivative
KW - K-invex function
KW - Non-smooth vectorial optimization
KW - Weak efficient solution
UR - https://www.scopus.com/pages/publications/77649153955
U2 - 10.1080/02331930701763645
DO - 10.1080/02331930701763645
M3 - Article
AN - SCOPUS:77649153955
SN - 0233-1934
VL - 58
SP - 981
EP - 993
JO - Optimization
JF - Optimization
IS - 8
ER -