弱压缩映射的一个不动点定理

Q4 Mathematics

Communications in Mathematical Analysis Pub Date : 2021-02-01 DOI:10.22130/SCMA.2020.124853.778

M. Saheli, Seyed Ali Mohammad, Mohsenialhosseini

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引用次数: 0

摘要

本文推广了模糊度量空间的弱Kannan、弱Chatterjea和弱Zamfirescu的概念。此外，我们还研究了这些空间中上述函数类的Banach不动点定理。此外，我们还证明了弱Kannan映射和弱Chatterjea映射是弱Zamfirescu映射的子类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Fixed Point Theorem for Weakly Contractive Mappings

In this paper, we generalize the concepts of weakly Kannan, weakly Chatterjea and weakly Zamfirescu for fuzzy metric spaces. Also, we investigate Banach's fixed point theorem for the mentioned classes of functions in these spaces. Moreover, we show that the class of weakly Kannan and weakly Chatterjea maps are subclasses of the class of weakly Zamfirescu maps.

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来源期刊

Communications in Mathematical Analysis Mathematics-Applied Mathematics

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