Schauder不动点定理的一个注记(英文)

A Note on the Schauder Fixed Point Theorem

为了推广Schauder不动点定理,可以利用非线性分析的方法.将Schauder不动点定理推广到在Banach空间中定义的非空有界闭凸非自映射中.推广的Schauder不动点定理将有更广泛的应用.

We use Nonlinear Analysis method to extend the Schauder fixed point theorem. We extend the Schauder fixed point theorem to a non-self-map defined on a nonempty bounded closed and convex set in Banach spaces. The Schauder fixed point theorem will be used more widely.