压缩映像原理在求序列极限上的应用

On the Contraction Mapping Principle and Its Application

对压缩映像原理进行探讨,发现压缩映像原理在研究递推形式序列的极限时是一个很有力的工具.因此,利用压缩的数列一定收敛,并且它的极限值是一个压缩映射的不动点,给出利用压缩映像原理求递推形式序列极限的求法.

The compression mapping principle to carry on the discussion,found the contraction mapping principle to study the recursive form equence limit is a very powerful tool,so the use of compression of the series convergence and its limit value is a contraction mapping and fixed points are given by using contraction mapping principle of recursive form of the limit of sequence.