非光滑凸半无限规划的最优性条件

Condition of Optimality in Semi-infinite Programming for Non-smooth Convex

给出了非光滑凸半无限规划问题的最优解的性质。该问题涉及了拉格朗日鞍点的概念。为了能给出最优性的必要条件,局部和全局的约束品性是给定的。这些约束品性基于F-M性质,在通过线性化可行域得到的特定系统中起着重要作用。证明了Slater品性隐含了这些品性。

This paper gives characterizations of optimal solutions to the non-differentiable convex semi-infinite programming problem,which involve the notion of Lagrangian saddle-point.Giving the necessary conditions for optimality,the local and global constraint qualifications are established.These constraint qualifications are based on the property of Farkas-Minkowski,which plays an important role in relation to certain systems obtained by linearization feasible set.It proved that Slater＇s qualification implies those qualifications.