摘要
在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题(VP)的严有效性.在近似锥-次类凸假设下,利用凸集分离定理,分别得到了Kuhn-Tucker型和Lagrange型最优性条件,建立了与(VP)等价的两种形式的无约束优化.
The set-valued optimization problem with constraints (VP) is considered in the sense of strict efficiency in Hausdorff locally convex linear topological spaces. Under the assumption of the nearly cone- subconvexlikeness, by applying separation theorem for convex sets, Kuhn-Tucker type and Lagrange type optimality conditions for (VP) are derived respectively, and two kinds of unconstrained programs equivalent to (VP) are established.
出处
《系统科学与数学》
CSCD
北大核心
2004年第3期311-317,共7页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10261006)
教育部全国优秀博士论文作者专项基金(200217)
南昌大学基础理论基金资助课题