Necessary and sufficient conditions for weak efficiency in non-smooth vectorial optimization problems
Lucelina Batista Santos, Adilson José Vieira Brandão, Rafaela Osuna-Gómez, Marko Antonio Rojas-Medar · Optimization · 2008
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).