1) 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。
2) 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。
3) 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。
4) tangent derivative
切导数
1.
The relationship between tangent derivative and generalized corvex of set_valued mapping is dealt with in this paper.
讨论了集值映射的切导数与广义凸之间的关系。
2.
The optimization problem of the set valued map with the contingent derivative and the tangent derivative of the set valued map is discussed, and the Kuhn Tucker necessary optimality condition and sufficient optimality conditions under the assumption of the cone convexity are give
研究了赋范空间中具有相依导数和切导数的集值映射的最优化问题建立了集值映射的约束资格，给出了问题（ＶＰ）具Ｋｕｈｎ－Ｔｕｃｋｅｒ的充分条件和必要条件
3.
By using tangent derivative,an analogue of K-T necessary andsufficient optimality conditions is proved.
本文讨论了目标函数是集值映射的约束和无约束最优化问题，应用切导数，得到了类似的Ｋ－Ｔ必要和充分条件。
5) tangenthypoderivative
切下导数
6) contingent derivatives
切导数
1.
In the second chapter, in real normed linear spaces, by use of the generalized contingent derivatives of set-valued mappings with Benson proper efficiency significance, a .
第二章在赋范线性空间中利用集值映射的广义切导数结合Benson真有效性,引进了Benson真有效解意义下集值映射的广义梯度。
补充资料：切木尔切克古墓群
切木尔切克古墓群，距阿勒泰市约30公里，距切木切克乡集镇15公里，位于平坦戈壁向山区过度地带，数约有100余琢，分布在约5平方公里范围内。墓有大、有小，有的较集中，有的分散。较大的一座长约65米，宽35米，位于哈底那尔村西，平均海平面高764米，墓前立有高1.5米，宽60公分，厚400 公分，4块巨大黑石石碑，上刻有凸形浮雕头像， 较小的墓大多分散在起伏土丘的制高点，墓前大多有一块立石，四周大多铺成直植的块石围护，隆起略高于地平面。
1963年新疆社会科学院考古研究所，有计划进行了部分发掘，发现墓葬形式有墓院制和单墓制两种，墓院制地表大多无封土，周缘多有列石围护，单墓制四周无列石围护。但两种墓葬都又分为石棺和竖穴土坑，石棺表面有的有封土，有的没有，竖穴土坑均有封土，埋葬方式为：屈肢、仰身直肢、俯身直肢和乱首葬。出土文物有石器、陶器、铜器、铁器、骨首质器等，时代起于战国延伸至突厥时期，近千年。
墓区除古墓以处，还有左文字石刻，岩画，这些可能是此方草原上的游牧民族匈奴、突厥等民族的遗迹。考古学界有人将切木尔切克墓葬称为切木尔克文化，可见地位之高。
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