Strong Kuhn-Tucker conditions and constraint qualifications in locally Lipschitz multiobjective optimization problems
- Giorgi, G.
- Jiménez, B.
- Novo Sanjurjo, Vicente
ISSN: 1863-8279, 1134-5764
Año de publicación: 2009
Volumen: 17
Número: 2
Páginas: 288-304
Tipo: Artículo
Otras publicaciones en: Top
Resumen
We consider a Pareto multiobjective optimization problem with a feasible set defined by inequality and equality constraints and a set constraint, where the objective and inequality constraints are locally Lipschitz, and the equality constraints are Fréchet differentiable. We study several constraint qualifications in the line of Maeda (J. Optim. Theory Appl. 80: 483�500, 1994) and, under the weakest ones, we establish strong Kuhn�Tucker necessary optimality conditions in terms of Clarke subdifferentials so that the multipliers of the objective functions are all positive.