1) contingent epiderivative
余切上图导数
1.
A representation of contingent epiderivative of the value map in vector optimization;
向量优化中值映射的余切上图导数的一个表示
2.
Two representations of contingent epiderivative of the value map is given in terms of the derivative of the objective function,the contingent derivative of the constraint .
借助目标函数的导数、约束映射的余切导数及拉格朗日映射给出了值映射的余切上图导数的两个表示。
3.
With contingent epiderivative of set-valued mapping,we gain the sufficient conditions of minimal solution and strict minimal solution of set-valued optimization problem.
借助集值映射的余切上图导数,给出了集值优化问题取得极小解和严格极小解的充分条件。
2) contingent epiderivative
切上导数
1.
In this paper, the necessary and sufficient conditions of Geoffrion efficient solutions in vector set-valued optimization problem with vector variational inequality are obtained by using the concept of contingent epiderivative, which has been introduced by Jahn and Rauh.
利用Jahn与Rauh提出的集值映射的切上导数概念,解决了以向量变分不等式的形式给出向量集值优化问题的Geoffrion有效解的充分必要条件。
2.
In this paper, the necessary and sufficient conditions of various proper efficient solutions in vector set-valued optimization problem are obtained by using the concept of contingent epiderivative,which has been introduced by Jahn and Rauh.
利用Jahn与Rauh提出的集值映射的切上导数概念 ,给出了向量集值映射最优化问题的各种有效解的充分与必要条
3.
By using the concept of contingent epiderivative,radial contingent epiderivative,it presents the necessary and sufficient conditions for weakly efficient solution,globally efficient solution,Henig efficient solution and C-superefficient solution to the vector equilibrium problems.
利用映射的切上导数,径向切上导数给出了向量均衡问题弱有效解,整体有效解,Hen ig有效解以及C-超有效解的充分必要条件。
3) Epiderivative
上图导数
1.
The concept of the generalized gradient in sense of strong efficiency is introduced by epiderivative for a set-valued map in ordered Banach spaces.
在锥序Banach空间中利用集值映射的上图导数引进了强有效意义下的广义梯度,在下C-半连续条件下,利用凸集分离定理证明了该广义梯度的存在性,由此建立了集值向量优化问题强有效解在广义梯度下的最优性条件。
4) second-order epiderivatives
二次切上导数
1.
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.
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。
2.
In this paper,we consider second-order optimality conditions in vector set-valued optimization,we present new second-order epiderivatives for set-valued maps.
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在无约束条件下弱有效点对,Henig有效点对,整体有效点对,f-有效点对的充分和必要条件,以及Benson有效点必要条件。
3.
It proposes new second-order epiderivatives for set-valued maps.
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在无约束条件下弱有效点对,Henig有效点对,整体有效点对和f-有效点对的充分和必要条件,以及Benson有效点必要条件;还给出了有约束条件前四种有效点对的必要条件。
5) contingent epiderivatives
伴随上图导数
6) Contingent-epiderivative
上图相依导数
补充资料：余切向量
余切向量是切向量的对偶概念。 流形m在点p处的切向量全体构成切空间，切空间的
对偶空间就是余切空间。 余切向量就是余切空间中的向量。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条