内部锥类凸集值优化的ε-超有效解  

ε-Super Efficient Solutions of Set-valued Optimization with Ic-cone-convexlikeness

作　　者：吴功跃[1] 徐义红[1] 汪涛[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《吉林大学学报（理学版）》2007年第6期927-931,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10461007);江西省自然科学基金(批准号:0611081)

摘　　要：通过在局部凸拓扑线性空间中引进集值映射向量优化问题的ε-超有效解,在集值映射为内部锥类凸的假设下,利用凸集分离定理建立了关于ε-超有效解的标量化定理,并利用择一定理得到ε-Lagrange乘子定理.In locally convex linear topological spaces, the 8-super efficient solution for vector optimization with set-valued maps was introduced. Under the assumption of the ic-cone-convexlikeness of set-valued maps, by applying separation theorem for convex sets, the scalarization theorems were established. By using the alternative theorem, the ε-Lagrange multiplier theorems were derived.

关 键 词：Ε-超有效解 内部锥类凸性 标量化定理 ε-Lagrange乘子定理 

分 类 号：O221[理学—运筹学与控制论]