集值映射向量优化问题的若干最优性结果  

Some Results on Vector Optimization of Set-valued Maps

作　　者：刘秀红[1] 

机构地区：[1]山东财政学院统计与数理学院,山东省济南市250014

出　　处：《曲阜师范大学学报（自然科学版）》2008年第1期55-57,共3页Journal of Qufu Normal University(Natural Science)

摘　　要：在实序线性拓扑空间框架下,借助于集值映射的择一定理,讨论了带有约束条件的(广义)次类凸集值映射向量优化问题的若干最优性条件,并将此问题转化成相应的标量化问题,得到若干最优性结果.In real ordered linear topological space, some optimal conditions are discussed under the condition of convexity defined by cone of set-valued maps, and some results are obtained by studying the scalar problem corresponding to the vector optimization of set-valued maps.

关 键 词：集值映射 次类凸 广义次类凸 最优性条件 

分 类 号：O221.2[理学—运筹学与控制论]