Aim to study the cone subdifferential of the cone efficient solution sets for set valued vector optimization problem with perturbed order.
目的研究锥扰动集值映射向量优化问题锥有效解的锥次可微性。
In this paper, we prove a theorem on the convergence of the gradient of K-S function to the subdifferential of corresponding maximum function.
本文证明了一条关于K - S函数的梯度收敛于相应的极大值由数的次微分的定理。
And the expression of its subdifferential is developed in the case that the effective domain of the sup-type function is a non-empty convex set.
在极大值函数的有效域为非空凸集的条件下研究了次微分，并给出它的结构表达式。
Finally, the generalized dual model of the problem (VP) is presented with the help of upper subdifferential of function, and a weak duality theorem is given.
接着，利用函数的上次微分构造了不可微向量优化问题（VP）的广义对偶模型，并且在适当的弱凸性条件下建立了弱对偶定理。
The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.
在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题，证明了几个锥次微分的存在定理。
The monotonicity, in some meaning, of subdifferential of prox regular functions and the relationships between prox regular of function and its epigraph are studied in this paper.
研究了函数和集在某点的邻近正则性与次微分连续性，给出邻近正则函数的次微分在某种意义下的单调性及函数的邻近正则性与其上图的邻近正则性的关系。
The notions of subgradient, subdifferential, differential with respect to convex fuzzy mappings are investigated, which provides the basis of the theory of fuzzy extremum problems.
最后对凸模糊映射的次梯度、次微分和微分等概念进行了研究，为模糊极值理论打下了基础。
The notions of subgradient, subdifferential, differential with respect to convex fuzzy mappings are investigated, which provides the basis of the theory of fuzzy extremum problems.
最后对凸模糊映射的次梯度、次微分和微分等概念进行了研究，为模糊极值理论打下了基础。
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