The aim of this paper is to study necessary optimality conditions for vector valued problems having inequality constraints, equality ones and a set constraint. The study is based on the so called image space approach, which allows to state a necessary optimality condition in the image space and, as consequences, some necessary optimality conditions in the decision space more general than the ones known in the literature. The differentiable case and the convex case are also deepened on.
Multiobjective problems with set constraints
CAMBINI, RICCARDO
2003-01-01
Abstract
The aim of this paper is to study necessary optimality conditions for vector valued problems having inequality constraints, equality ones and a set constraint. The study is based on the so called image space approach, which allows to state a necessary optimality condition in the image space and, as consequences, some necessary optimality conditions in the decision space more general than the ones known in the literature. The differentiable case and the convex case are also deepened on.File in questo prodotto:
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