拓扑向量空间集值优化问题的强有效解  

Strong Efficient Solutions in Set-Valued Optimization Problem in Topological Vector Space

作　　者：余丽[1] 

机构地区：[1]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《宜春学院学报》2011年第4期20-21,共2页Journal of Yichun University

基　　金：江西省自然科学基金(0611081)

摘　　要：在Hausdorff局部凸拓扑向量空间中考虑约束集值优化问题的强有效性.在内部锥类凸假设下,利用凸集分离定理,得到了强有效解的Lagrange乘子定理。The set-valued optimization problem with constraints is considered in the sense of strong efficiency in Hausdorff locally convex vector topological spaces.Under the assumption of the ic-cone-convexlikeness by applying separation theorem for convex sets,the Lagrange multiplier thoerems for strong efficient solution is established.

关 键 词：内部锥类凸 集值映射 强有效解 LAGRANGE乘子定理 

分 类 号：O224[理学—运筹学与控制论]