摘要
对向量集值映射引入锥类凸的概念，并给出锥类凸集值映射的一个等价刻划和逼近锥的几个重要性质．利用这些概念与结果，对赋范线性空间中带集值映射的向量优化问题的有效点集和Ｂｅｎｓｏｎ真有效点集建立了两个标量化定理．据此。
First the concept of cone convexlikeness of vector set valued maps is introduced, and an equivalent characterization for cone convexlike set valued maps and several important properties for approximating cones are presented.Using the concept and these results,two scalarization theorems are established for the set of efficient points and the set of Benson properly efficient points in a vector optimization problem with a set valued map in some normed vector space.Based on that,the connectedness of the two sets are proved.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1997年第3期293-299,共7页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金
内蒙古自然科学基金
关键词
集值映射
向量优化
有效点集
连通性
set valued maps cone convexlikeness vector optimization (properly) efficient point sets connectedness
