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.
作者
林一星
LIN Yixing(The Senior Middle School of Longyan(Normal),Longyan 364000)
出处
《高等数学研究》
2022年第4期61-62,85,共3页
Studies in College Mathematics
关键词
不动点
列紧集
均匀连续映射
fixed point
countably compact set
uniformly continuous mapping
