摘要
首先在赋范空间中定义了预不变凸集值映射的概念,其次应用择一定理获得了超有效解意义下含有等式和不等式约束的集值向量优化问题的标量化定理,最后建立了集值向量优化问题的最优性必要和充分条件.
In this paper, firstly, the concept of preinvex set-valued mapping is defined in non-ned vector spaces. Secondly, by the alternative theorem, scalarization theorem of set-valued vector optimization problems with equality and inequality constraint in a sense of super efficient solutions. Finally, the necessary and sufficient optimality conditions of set-valued vector optimization problem axe established.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第1期36-39,共4页
Journal of Sichuan Normal University（Natural Science）
关键词
集值映射
预不变凸
超有效解
标量化
最优性条件
Set-valued mapping
Preinvex
Super efficient solution
Scalarization
Optimality condition
