向量值映射锥鞍点存在定理(英文)  

Some Existence Theorems for Cone Saddle Points of Vector-valued Mappings

作　　者：梁红卫[1] 张宇[1] 

机构地区：[1]重庆大学数学与统计学院,重庆400044

出　　处：《应用数学》2011年第4期833-840,共8页Mathematica Applicata

基　　金：the National Natural Science Foundation of China(10871216)

摘　　要：本文首次通过借助Kakutani-Fan-Glicksberg固定点定理和非线性标量化,研究了向量值映射的Benson锥鞍点定理.然后,通过使用该Kakutani-Fan-Glicksberg固定点定理,同样得到了集值映射的锥松鞍点定理.In this paper,a Benson cone saddle point theorem for vector-valued mappings is first established by virtue of the Kakutani-Fan-Glicksberg fixed point theorem and a nonlinear scalarization function.Then,a cone loose saddle point theorem for set-valued mappings is also obtained by using the Kakutani-Fan-Glicksberg fixed point theorem.

关 键 词：锥松鞍点定理 固定点定理 向量值映射 集值映射 

分 类 号：O221.6[理学—运筹学与控制论]