集值优化ε-严有效解的Lagrange型最优性条件  

Lagrangian Type Optimality Conditions forε-Strictly Efficient Solutions of Set-Valued Optimization

作　　者：胡娟[1] 徐义红[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《吉林大学学报（理学版）》2016年第5期989-993,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11461044);江西省自然科学基金(批准号:2015BAB201027)

摘　　要：在Hausdorff局部凸拓扑线性空间中考虑集值优化的ε-严有效性,当目标函数和约束函数构成的序偶映射是近似锥-次类凸时,在较弱的约束品性假设下,借助凸集分离定理得到了集值优化ε-严有效解的Lagrange型最优性条件.We considered theε-strict efficiency of set-valued optimization in Hausdorff locally convex topological linear spaces.When ordered pair mapping consisting of the object function and constrained function was near cone-subconvexlikeness,under the assumption of weaker constraint qualification,with the help of separated theorem of convex sets,we obtained Lagrangian type optimality conditions forε-strictly efficient solutions of set-valued optimization.

关 键 词：ε-严有效解 近似锥-次类凸 凸集分离定理 LAGRANGE乘子定理 

分 类 号：O221.6[理学—运筹学与控制论]