A Fixed Point Theorem for Set-Valued Mapping in Abstract Convex Space with Application  

抽象凸空间中集值映射的不动点定理及其应用(英文)

作　　者：范晓冬 向淑文 

机构地区：[1]Department of Mathematics,Bohai University [2]Department of Mathematics,Guizhou University

出　　处：《Journal of Mathematical Research and Exposition》2009年第4期716-720,共5页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China(No.10561003)

摘　　要：A new fixed point theorem and the selection property for upper semi-continuous set-valued mappings in abstract convexity space are established. As their applications the existence of Nash equilibrium for n-person non-cooperative generalized games is proved.A new fixed point theorem and the selection property for upper semi-continuous set-valued mappings abstract in convexity space are established.As their applications the existence of Nash equilibrium for n-person non-cooperative generalized games is proved.

关 键 词：set-valued mapping fixed point continuous selection Nash equilibrium. 

分 类 号：O177.91[理学—数学] O224[理学—基础数学]