内部锥类凸集值优化的ε-全局真有效性  

ε-Globally Proper Efficiency of Set-Valued Optimization with Ic-Cone-Convexlikeness

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：《西南大学学报（自然科学版）》2013年第1期79-84,共6页Journal of Southwest University(Natural Science Edition)

基　　金：江西省自然科学基金资助项目(0611081)

摘　　要：在实赋范线性空间中引进了集值映射向量优化问题的ε-全局真有效解的概念.在集值映射为内部锥类凸的假设下,利用凸集分离定理,分别得到了ε-全局真有效解的标量化定理和ε-Lagrange乘子定理.The concept of ＂ε globally proper efficient solution of vector optimization problems with set-valued maps＂ is introduced in real normed linear spaces. Under the assumption of the ic-cone-convexlikeness of the set-valued maps, by applying the separation theorem for convex sets, the scalarization theorem and the ε-Lagrange multiplier theorem for ε-globally proper efficient solution are derived.

关 键 词：ε-全局真有效性 内部锥类凸 标量化定理 ε-Lagrange乘子定理 

分 类 号：O224[理学—运筹学与控制论]