摘要
考虑带约束集值向量优化中的二次最优性条件,引进了新的集值映射的二次切上导数概念,并利用这个概念给出了带约束条件的弱有效点对,Henig有效点对,整体有效点对,f-有效点对的必要条件.
In this paper, we consider the second-order optimality conditions in vector set-valued optimization and present new second-order epiderivatives for set-valued maps. By using these concepts, we give a necessary condition for a weakly efficient solutiou, a Henig efficient solution, a global efficient solution, an f-efficient solution, respectively, for vector set-valued optimization problems with constraints.
出处
《五邑大学学报(自然科学版)》
CAS
2008年第2期11-14,共4页
Journal of Wuyi University(Natural Science Edition)
基金
国家自然科学基金资助项目(10561007)
关键词
集值向量优化
二次切上导数
最优性条件
set-valued vector optimization(SVOP)
second-order epiderivatives: optimalily conditions