标题:
实分析中的不动点定理及其应用Fixed Point Theorem in Real Analysis and Its
Application
作者:
王丹, 刘岩, 安家, 杨康, 毛安民
关键字:
不动点, 存在唯一性, 迭代Fixed Point; Existence and Uniqueness; Iteration Method
期刊名称:
《Pure Mathematics》, Vol.3 No.4, 2013-07-18
摘要:
本文给出一种判断不动点存在唯一性的结论,同时给出一个关于多个不动点的存在性定理,最后给出一种区间的分法,使得在每个小区间上相应函数存在唯一的不动点,进而确定出不动点的个数,并用迭代的方法求出不动点。We present a result which is used to check the existence and uniqueness of fixed points of a real function. We also give a multiplicity of fixed points and a method of how to divide the interval into several parts, in which only one fixed point exists. Furthermore, we get all the fixed points via iteration method.