拓扑空间的闭集套紧性及其在不动点理论中的应用

Compactness of Nested Closed Sets in Topological Space and its Application in Fixed point Theory

在本文中,我们在拓扑空间中引入闭集套紧性概念,并研究这种紧性的性质,与其它紧性的关系,最后,给出闭集套紧性在不动点理论中的应用。

In this paper, we have introduced a concept of compactness of nested closed sets into topological space. We have studied properties of this compactness and relations with other compactness. Lastly, we have given the application of compactness of nested closed sets in the fixed point theory.