Banach不动点定理的推广定理及其应用

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.