Posted by haifeng on 2014-10-11 09:22:00 last update 2014-10-11 09:39:09 | Answers (1) | 收藏
设 $f,g\in C[a,b]$, 且点列 $x_n\in[a,b]$ 满足
\[f(x_{n+1})=g(x_n),\quad n\in\mathbb{N}^*\]
证明: 必有一点 $x_0\in[a,b]$, 使得 $f(x_0)=g(x_0)$.
