广义凸赋范线性空间集值优化的超有效性  

On Super Efficiency in Set-valued Optimization with Generalized Convex Normed Linear Space

作　　者：余丽[1] 徐义红[1] 吴功跃[1] 

机构地区：[1]南昌大学数学系

出　　处：《南昌大学学报（工科版）》2007年第3期275-278,共4页Journal of Nanchang University(Engineering & Technology)

基　　金：国家自然科学基金资助项目(10461007);江西省自然科学基金资助项目(0611081)

摘　　要：在实赋范线性空间中考虑约束集值优化问题的超有效性.在内部锥类凸假设下,利用凸集分离定理,分别得到了Kuhn-Tucker和Lagrange必要条件.2003年,Sach引进了一种新的鞍点,在新鞍点定义中,不需要x0∈V,为此,本文最后得到了新鞍点的最优性条件.The set-valued optimization problem with constraints is considered in the sense of super efficiency in real normed linear space. Under the assumption of the ic-cone-convexlikeness, by applying separation theorem for convex sets, Kuhn-Tucker and Lagrange necessary conditions are derived respectively. In 2003, a new saddle point was introduced by Sach. During the definition of new saddle point, x0∈V is not needed , so the new saddle-point optimality condition is obtained in this paper

关 键 词：超有效性 内部锥类凸 集值优化 鞍点 

分 类 号：O221.6[理学—运筹学与控制论]