欧氏空间的一个不动点定理  

A Theorem of Fixed Point in Euclidean Space

作　　者：林一星 LIN Yixing(The Senior Middle School of Longyan(Normal),Longyan 364000)

机构地区：[1]龙岩高级中学,龙岩福建364000

出　　处：《高等数学研究》2022年第4期61-62,85,共3页Studies in College Mathematics

摘　　要：利用映射边界点的值,把定义在欧氏空间闭球上的均匀连续映射扩张到全空间.然后引用已知定理,证明了欧氏空间的一个新形式不动点定理.In this paper,a uniformly continuous mapping defined on a closed sphere in Euclidean space is extended to the whole space,and by known theorems a new theorem of fixed points in Euclidean space is proved.

关 键 词：不动点 列紧集 均匀连续映射 

分 类 号：O13[理学—数学]