摘要
本文研究带集合约束的向量极值问题。运用局部凸Hausdorff拓扑向量空间中广义次似凸映射的择一定理和其他一些结论,得到了关于集合约束向量极值问题弱有效解的几个充分必要条件.
The paper deals with the vector extremum problems with set constraint. Applying the alternative theorem of generalized subconvexlike maps in locally-convex Hausdorff topological vector spaces and some other results, several sufficient and necessary conditions for the vector extremum problems with set constraint are obtained.
出处
《应用数学与计算数学学报》
2005年第1期70-74,共5页
Communication on Applied Mathematics and Computation
基金
重庆交通学院科研基金资助课题(2004-02-20).
关键词
向量极值问题
弱有效解
局部凸Hausdorff拓扑向量空间
择一定理
最优化
Generalized subconvexlikeness
locally-convex Hausdorff topological vector spaces
theorems of the alternative
weak efficient solution
the sufficient and necessary conditions
