首页 | 本学科首页   官方微博 | 高级检索  
     检索      

向量值映射锥鞍点存在定理
引用本文:梁红卫,张宇.向量值映射锥鞍点存在定理[J].应用数学,2011,24(4).
作者姓名:梁红卫  张宇
作者单位:重庆大学数学与统计学院,重庆,400044
基金项目: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.

关 键 词:锥松鞍点定理  固定点定理  向量值映射  集值映射

Some Existence Theorems for Cone Saddle Points of Vector-valued Mappings
LIANG Hongwei , ZHANG Yu.Some Existence Theorems for Cone Saddle Points of Vector-valued Mappings[J].Mathematica Applicata,2011,24(4).
Authors:LIANG Hongwei  ZHANG Yu
Institution:LIANG Hongwei,ZHANG Yu (College of Mathematics and Statistics,Chongqing University,Chongqing 400030,China)
Abstract: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.
Keywords:Cone loose saddle point  Fixed point theorem  Vector-valued mapping  Set-valued mapping  
本文献已被 CNKI 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号