摘要
本文研究向量优化问题在严有效解意义下的最优性条件.在局部凸Hausdorff拓扑线性空间中,在近似锥一次类凸假设下,利用凸集分离定理得到了最优性必要条件.借助Gateaux导数引进了几种新的凸性,在新的凸性假设下得到了最优性充分条件.
Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper. Under generalized cone-subconvexlikeness for vector valued mappings in locally-convex Hausdorff topological vector spaces, by using separation theorem for convex sets, optimality necessary conditions＂ are derived. Several kinds of new convexity are introduced with Gateaux derivatives as an aid, under the assumption of which optimality sufficient conditions are obtained.
出处
《运筹学学报》
CSCD
北大核心
2008年第1期43-50,共8页
Operations Research Transactions
基金
the National Natural Science Foundation of China Grant 1046007
the Foundation of Education Section of Excellent Doctorial Theses Grant 200217
the Natural Science Foundation of Jiangxi Province 0611081
关键词
运筹学
多目标规划
最优性条件
广义次类凸性
严有效解
Operations research, multiobjective programming, optimality condition, generalized subconvexlikeness, strictly efficient solution
