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 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.
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.
本文首先给出了集值映射序列的极限映射的上半连续性与J -凸性;其次解决了集值映射序列的极限映射的锥次微分的存在性。
In this paper, we have discussed some problems about the upper semi-continuity and J-convexity of the limit mapping of set-valued mapping sequence.
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