摘要
递推数列的极限问题,常是用单调有界原理来解决.但当递推数列不是单调时,其方法失效.文章利用不动点原理的思想,得到解决递推数列极限的存在性问题的一个定理,使得其解法变得更为有效且简洁.
A new theorem on the fixed point principle is obtained and the problem on the existence and calculation for the recurrent sequence of numbers is resolved effectively by making use of the theorem.
出处
《泉州师范学院学报》
2009年第6期14-16,共3页
Journal of Quanzhou Normal University
关键词
递推数列
压缩映射
不动点原理
recurrent sequence
reduce mapping
principle of fixed point