具有图的一致空间中广义收缩的公共不动点

Q4 Mathematics

Mathematica Pub Date : 2020-05-25 DOI:10.24193/mathcluj.2020.1.06

B. Hosseini, A. Mirmostafaee

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引用次数: 0

摘要

本文将定义一类新的广义压缩，以建立具有图的Hausdorff一致空间上自映射的一些公共不动点定理。这个新概念使我们能够扩展文献中一些已知的结果。我们还证明了我们的结果可以应用于同伦定理。文中还给出了相关的例子来支持我们的主要结论。2010年MSC。主:47 h10;二级:47H9,54E15, 05C40, 54H25。

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Common fixed points for generalized contractions in uniform spaces endowed with a graph

In this paper, we will define a new kind of generalized contractions to establish some common fixed point theorems for self-mappings on Hausdorff uniform spaces endowed with a graph. This new notion enables us to extend some known results in the literature. We also show that our results can be applied to a homotopy theorem. Related examples are also given to support our main results. MSC 2010. Primary: 47H10; Secondary: 47H9,54E15, 05C40, 54H25.

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来源期刊

Mathematica Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量