关于拓扑柱面上一个不动点定理的注记
A note on a fixed point theorem on topological cylinders
摘要：
本文给出了赋范线性空间中满足沿路径拉伸性质的映射的拓扑柱的一个不动点定理。这个结果是D. Papini和F.扎诺林鉴于主要结果，我们讨论了定义在不同类型的域上的映射的不动点的存在性，并提出了经典不动点定理的替代证明，如Brouwer，Schauder和Krasnosel'ski的\u定理。
英文摘要：
We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin. In view of the main result we discuss the existence of fixed points for maps defined on different types of domains and we propose alternative proofs for classical fixed point theorems, as Brouwer, Schauder and Krasnosel'ski\uı ones.
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