1) 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。
2) contingent epiderivative
相依上导数
3) 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。
4) 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。
5) Contingent-epiderivative
上图相依导数
6) Dependence parameter
相依参数
补充资料:m相依过程
m相依过程
m-dependent process
m相依过程fm一峡曰的t碑创芳留」【补注】离散时间随机过程(stochasticP代犯e粥)(X。)。。z称为m相依的,如果对所有k,联合随机变量(x。)。‘*独立于联合随机变量(x。)。,*十。、。. 这类过程是作为尺度变换(重正规化)的极限,因而也是作为具有尺度对称性过程的例子自然产生的(【Al」).m相依过程的例子由(m+l)分块因子(blockfactoIS)给出,其定义如下:设(Z。)。。z是一独立过程,f为m十l个变元的函数,X。二f(z。,…,Z,+。),则(m十l)分块因子X。是一m相依过程. 但存在并非2分块因子的1相依过程(one-山哪ndent Proc哪)(【A2】).
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