摘要
在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题(VP)的ε-强有效性.在内部锥类凸假设下,利用凸集分离定理,分别建立了关于ε-强有效解的标量化定理和ε-Lagrange乘子定理.
The set-valued optimization problem with constraints(VP) is considered in the sense of e- strongly efficiency in Hausdorff locally convex topological linear spaces.Under the assumption of the ic-cone-convexlikeness,by applying separation theorem for convex sets,the scalarization theorems and theε- Lagrange multiplier theorems forε- strongly efficient solution are established,respectively.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第8期207-213,共7页
Mathematics in Practice and Theory
基金
江西省自然科学基金(0611081)