线性空间中集值优化问题弱有效解与向量鞍点  

Weak Efficient Solutions and Vector Saddle Points of Set-valued Optimization Problems in Linear Spaces

作　　者：王其林[1] 

机构地区：[1]重庆交通大学理学院,重庆400074

出　　处：《重庆交通学院学报》2007年第3期166-168,共3页Journal of Chongqing Jiaotong University

基　　金：重庆交通大学科研基金资助课题(2006-026)

摘　　要：在序线性空间中定义了带广义不等式约束集值优化问题的广义向量Fritz-John鞍点和广义向量Kuhn-Tucker鞍点,建立了二者之间关系.最后,借助广义锥次似凸映射的择一定理,讨论了集值优化问题的弱有效解与它们之间的关系.In ordered linear spaces, generalized vector Fritz-John saddle point and generalized vector Kuhn-Tucker saddle point of set-valued optimization problems with generalized inequality constraints were defined, and the relations between them were established. And then, applying the alternative theorems under the generalized cone-subconvexlikeness, the relations among the weak efficient solutions of set-valued optimization problems and them were dicussed.

关 键 词：集值优化问题 序线性空间 广义Y+-次似凸 广义向量Fritz-John鞍点 广义向量Kuhn—Tucker鞍点 

分 类 号：O224[理学—运筹学与控制论]