Condições de Otimalidade para Problemas Multiobjetivos Irregulares
DOI:
https://doi.org/10.5540/tema.2019.020.03.477Keywords:
Condições de otimalidade, irregularidade, p-regularidade.Abstract
Neste artigo, consideramos problemas de Otimização multiobjetivo com restrições de igualdade dadas na forma $F(x) = 0$, sendo $F: \mathbb{R}^n \longrightarrow \mathbb{R}^m$. Consideraremos o caso em que a restrição do problema é irregular, ou seja, quando a condição de qualificação de independência linear (LICQ) não é satisfeita na solução do problema de otimização. Obtemos condições necessárias e suficientes de otimalidade no sentido da eficiência fraca e da eficiência própria para problemas multiobjetivos irrgulares. Para isto, foi utilizada a Teoria da p-regularidade.Downloads
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