线性空间中集值映射向量优化问题的ε-真有效解  

ε-Properly Efficient Solutions of Vector Optimization Problems with Set-Valued Maps in Linear Spaces

作　　者：骆世云[1] 叶仲泉[1] 

机构地区：[1]重庆大学数理学院,重庆400030

出　　处：《西南大学学报（自然科学版）》2009年第5期82-86,共5页Journal of Southwest University(Natural Science Edition)

摘　　要：利用一种称为代数型闭包的向量闭包,讨论了线性空间中极值映射向量优化问题的ε-真有效解,在集值映射为广义向量似凸的假设下,建立了这种解的标量化定理和ε-Lagrange乘子定理.The authors use a concept of algebraic type of closure which is called vector closure . Through this closure they discuss ε-properly efficient solutions of vector optimization problems with set-valued maps. Under the assumption of the generalized cone-subconvexlikeness for Set-valued maps, the authors obtain the scalarization theorem and the ε-Lagrange multipliers theorems for ε-properly efficient solutions of vector optimization problems with set-valued maps.

关 键 词：集值映射 向量优化 向量闭包 向量拟凸 ε-真有效性 

分 类 号：O221.4[理学—运筹学与控制论]