四川师范大学学报（自然科学版）2013，Vol.36Issue(4)：521-524,4.DOI:10.3969/j.issn.1001-8395.2013.04.007
抽象凸锥度量空间上集值映射的逼近连续选择及应用
Approximate Continuity Selection for Set-valued Maps in Abstract Convex Cone Metric Spaces and Application
摘要
Abstract
Constructing a continuity map on standard simplex by using H0 condition of abstract convex space and the partition of unity subordinate to the finite covering of a compact set,a cone metric approximate continuity selection for cone metric upper semi-continuous set-valued maps in abstract convex cone metric spaces is proved by employing Brouwer fixed point theorem.Then a fixed point theorem for cone metric upper semi-continuous maps is derived.As an application,constructing cone metric upper semi-continuous best reflect map,the existence of Nash equilibrium of n-person non-cooperative generalized game with abstract convex cone metric strategy space is proved.关键词
抽象凸空间/连续选择/不动点/广义博弈/Nash平衡Key words
abstract convex space/ continuity selection/ fixed point/ generalized game/ Nash equilibrium分类
数理科学引用本文复制引用
夏顺友..抽象凸锥度量空间上集值映射的逼近连续选择及应用[J].四川师范大学学报（自然科学版）,2013,36(4):521-524,4.基金项目
国家自然科学基金(11161008)和贵州省科学技术基金(2012GZ71164)资助项目 （11161008）
