摘要
在Hausdorff局部凸拓扑向量空间中引进了集值映射ε-强有效次微分的概念。在一定条件下,通过凸集分离定理证明了该次微分的存在性定理。作为应用,得到了约束集值优化问题ε-强有效解在Lagrange乘子形式下的最优性必要条件。
In Hausdorff locally convex topological vector spaces, the concept of ε-strongly efficient subdifferential for a set-valued mapping was introduced. Under certain condition, by using the convex set separation theorem, the existence theorem for ε-strongly efficient subdifferential was proposed. As an application, the necessary optimality condition of the constraint set-valued optimization problem for ε-strongly efficient solutions was established in terms of Lagrange multiplier by using the concept of ε-strongly efficient subdifferential for set-valued mapping.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2013年第3期99-105,共7页
Journal of Shandong University(Natural Science)
基金
江西省自然科学基金资助项目(0611081)
