1) Contingent-epiderivative
上图相依导数
2) contingent epiderivative
相依上导数
3) generalized contingent epiderivative
广义相依上导数
1.
For set valued vector minimization problem with inequality constraint, a sufficient optimality condition theorem and a necessary Fritz John type optimality condition theorem is derived in terms of the generalized contingent epiderivative.
用广义相依上导数 ,描述了含不等式约束的集值向量极小化问题的最优性充分条件与Fritz John型最优性必要条件。
4) contingent derivative
相依导数
1.
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
2.
In this paper,we obtain the necessary conditions,the sufficient conditions,the necessary and sufficient conditions at the Lagrange multipliers status for weak minimizer solution to the set-valued optimization problems by using the contingent derivative,the adjacent derivative and the circatangent derivative.
论文借助于集值映射的相依导数,相邻导数,约切导数等几种导数,以Lagrange乘子的形式给出集值优化问题有弱最小解的必要条件、充分条件以及充分必要条件。
3.
In terms of the contingent derivative,some equivalent conditions on the existence of an error bound for pseudoconvex multifunctions are established.
通过相依导数,给出了伪凸集值映射存在误差界的一些等价叙述。
5) SP-contingent derivative
SP-相依导数
1.
In this paper, we introduce concepts of SP-contingent derivative of graph of set-valued map and obtain the optimatity conditions of two kinds of proper efficient solutions for the set-valued vector optimization problems by using the new concept of contingent derivative of set -valued map.
本文提出了集值映射图的SP-相依导数的概念,利用这个概念,给出了集值 向量优化问题两种真有效解的最优性条件。
6) 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。
补充资料：生死相依的百年母子树(图)
何玉玲 马 江 周志忠
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在阿左旗巴彦浩特一居民区，有一对奇特的巨型树根。因其根须相互盘龙虬错难以分割，有人喻称之为“同命鸳鸯”树。但周围居民讲，其实，这是母子树。
从其生长结构很显眼地可以看出，旁边的小树根当年是从大树根上扎出来的。从树根年轮上判断，至少已有百余年时间。因这两个连体母子树根硕大而沉重，非大吊车而靠人力是轻易奈何不了它们的。故，好几年时间了，这对树根的主人并不怕“树大招风”，而是一直将其裸放在自家大门口。据悉，主人之所以花大代价将这对树根从一边远牧区长途运回，是想将其制作成一特殊的根雕。但具体这母子树为何成现在的命运，目前还不得而知。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。