重庆理工大学学报:自然科学2012,Vol.26Issue(1):119-126,8.
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
摘要
Abstract
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.关键词
半无限规划/凸函数/拉格朗日鞍点/约束品性/最优性条件/F-M系统Key words
semi-infinite programming/convex function/Lagrangin saddle-point/constraint qualifications/optimality condition/Farkas-Minkowski system分类
数理科学引用本文复制引用
戴素芬..非光滑凸半无限规划的最优性条件[J].重庆理工大学学报:自然科学,2012,26(1):119-126,8.