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1.以不动点原理为背景不动点原理是高等数学上一个重要的原理,也叫压缩映像原理或Banach不动点定理,完整的表达:完备的距离空间上,到自身的一个压缩映射存在唯一的不动点.用初等数学可以这么理解:连续映射f的定义域包含值域,则存在一个x使得f(x)=x.
1. The fixed point principle is the principle of the fixed point. It is an important principle in higher mathematics. It is also called the contraction mapping principle or the Banach fixed point theorem. It is a complete expression: a compressed map to a self in a complete distance space. There is a unique fixed point. Using elementary mathematics it can be understood that the domain of continuous map f contains a range of values, then there exists an x such that f(x) = x.