实线性空间中集值优化问题弱有效解的最优性条件  

The Optimality Conditions for Weak Efficiency in Set-valued Optimization Problems on Real Linear Spaces

作　　者：赵桂芝[1] 阳南宁[1] 旷华武[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2009年第2期21-23,共3页Journal of Guizhou University:Natural Sciences

基　　金：贵州省科技厅基金(黔科合J字[2008]2044号);贵州大学研究生创新基金(2007008)

摘　　要：在实线性空间中,建立了广义锥次凸集值映射的择一定理。利用此定理,得到了集值优化问题弱有效解的最优性条件。The alternative theorem of set-valued maps with generalized cone-subconvexlike was established. On its basis, the optimality conditions for weak efficiency in set-valued optimization problems were obtained by applying the alternative theorem.

关 键 词：实线性空间 集值映射 择一性定理 最优性条件 

分 类 号：O224[理学—运筹学与控制论]