实分析中的不动点定理及其应用

Fixed Point Theorem in Real Analysis and Its Application

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。

Abstract: 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.