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拓扑空间的闭集套紧性及其在不动点理论中的应用
引用本文:樊恩祥.拓扑空间的闭集套紧性及其在不动点理论中的应用[J].高师理科学刊,1991(2).
作者姓名:樊恩祥
作者单位:齐齐哈尔师范学院数学系
摘    要: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。

关 键 词:拓扑空间  闭集套  闭集套紧性  不动点

Compactness of Nested Closed Sets in Topological Space and its Application in Fixed point Theory
Fan Enxiang.Compactness of Nested Closed Sets in Topological Space and its Application in Fixed point Theory[J].Journal of Science of Teachers'College and University,1991(2).
Authors:Fan Enxiang
Institution:Department of Mathematics
Abstract: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.
Keywords:Topological space Nested closed sets Compactness of nested closed sets Fixed point
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