集值向量优化的二阶最优性必要条件

Necessary Conditions for Second-Order Optimality of Vector Optimization of Set-Valued Maps

中文关键词:  二阶切集  二阶切导数  弱极小元

英文关键词:second-order tangent set  second-order tangent derivative  weak minimal

中文摘要:

      在赋范空间中给出了集值映射的二阶切集的概念,利用二阶切集,定义了集值映射的二阶切导数。然后,获得了集值向量优化问题弱极小元的两个二阶最优性必要条件。

英文摘要:

      In this paper, the concept of second--order tangent set of set-valued maps is given in the Euclidean space. Based on the second--order tangent set , the second-order tangent derivative of set--valued maps is defined. Then, two necessary conditions for second-order optimality for the weak minimal in the vector optimization of set-valued maps are obtained.