不动点原理与递推、迭代数列的极限探析

Fixed Point Theorem and Limit Analysis of Recurrence and Iteration Progression

不动点原理在数学中具有极其重要的地位，如能加以灵活运用，可以解决诸多问题。本文从不动点的定义及定理出发，介绍不动点在递推、迭代数列极限中的应用，得出有些数列用数学分析中的方法求是比较繁琐的，而用我们的不动点原理解则很简洁。

Fixed point theorem has very important position in mathematics, it can solve many problems if be well and flexible used. Tis paper start from the definitions and theorems of fixed point, introduces the its application in recurrence and iteration pro- gression, reults that Some mathematical analysis method in the sequence is much tedious, but fixed point theorem is very simple.