模糊拟度量空间上的Kannan型和Chatterjea型压缩

Q1 Mathematics Results in Nonlinear Analysis Pub Date : 2022-09-30 DOI:10.53006/rna.1140743

Salvador ROMAGUERA BONİLLA

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引用次数: 1

摘要

利用Kannan型不动点定理刻画了模糊拟度量空间的完备性。因此，我们扩展了由Subrahmanyam引起的度量完备的经典刻画，以及文献中关于拟度量完备和模糊度量完备刻画的最新结果。我们还介绍和讨论了在这种不对称的背景下查特赫亚型的收缩。

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Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces

We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type. Thus, we extend the classical characterization of metric completeness due to Subrahmanyam as well as recent results in the literature on the characterization of quasi-metric completeness and fuzzy metric completeness, respectively. We also introduce and discuss contractions of Chatterjea-type in this asymmetric context.

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