用凸化子讨论不等式约束的多目标优化问题的最优性条件

Optimality conditions for non-differentiable multi-objective programming in terms of convexificators

对具有不等式约束的多目标优化(multiobjective programming,MP)问题,利用凸化子的概念,在广义Slater约束规格和广义线性独立约束规格下给出了必要条件,并将研究结果推广到多目标优化的情形。

For a non-differentiable multi-objective programming （MP） problem with inequality constraints, the necessa- ry conditions were established under generalized Slater constraint qualification and generalized linear independence con- straint qualification in terms of the concept of convexificators, and the results were extended to the multi-objective opti- mization.