Condições de Otimalidade para Problemas Multiobjetivos Irregulares

RESUMO.

In this article, we consider problems of Multiobjective optimization with equality constraints given in the form $F(x)=0$, where $F:\mathbb{U}\subseteq {\mathbb{R}}^n⟶{\mathbb{R}}^m$. We will consider the case where the problem constraints are irregular, that is, when the condition of qualification of linear independence (LICQ) is not satisfied in the solution of the optimization problem. We obtain necessary and sufficient conditions of optimality in the sense of the weak efficiency and of the proper efficiency for irregular multiobjective problems.

Key words
conditions of optimality; irregularity; p-regularity