摘要
李泽民建立了实线性空间中次似凸集值映射向量最优化问题的K T条件和Lagrange乘子定理。笔者首先引进了广义次似凸集值映射的概念。然后 ,在实线性空间中建立了一个广义次似凸集值映射的择一性定理。最后 ,利用择一性定理 。
Kuhn Tucker optimality conditions and Lagrange multipliers for vector optimization problems with subconvexlike set valued maps wereestablished by Li zemin. Firstly, the concept of generalized subconvexlikeness for set valued maps is introduced in this paper. Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established. Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
出处
《重庆大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2003年第3期32-34,88,共4页
Journal of Chongqing University
关键词
集值映射
最优性条件
择一性定理
广义次似凸
实线性空间
set valued maps
optimality conditions
alternative theorems
generalized subconvexlike
real linear spaces