Banach不动点定理的推广定理及其应用  

The Extended Theorem and Application of Banach Fixed Point Theorem

作　　者：刘(钅泉) 岑苑君[1] 

机构地区：[1]顺德职业技术学院,广东佛山528333

出　　处：《嘉应学院学报》2012年第11期14-17,共4页Journal of Jiaying University

摘　　要：将Banach不动点定理推广到一类压缩型广义不动点定理,并介绍Banach不动点定理的变换形式在数学建模中的应用,来说明用不动点定理可以处理一些传统方法比较难解决的问题,进一步体现不动点理论应用的广泛性.In this paper, Banaeh fixed point theorem is extended to a sort of compressed generalized fixed point the- orem, and the transformation of Banach fixed point theorem is applied in mathematic modeling. It proves fixed point theorem can solve some problems which can＇ t be figured out in traditional ways, and further reflects the extensity of the applieation of fixed point theorem.

关 键 词：不动点定理 数学建模 应用 

分 类 号：O177.92[理学—数学]