软$A$-度量空间

Journal of New Theory Pub Date : 2022-12-31 DOI:10.53570/jnt.1177525

Hande Poşul, Çiğdem Gündüz, S. Kütükcü

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引用次数: 1

摘要

本文利用软集的软点和软度量空间的概念，建立了软度量空间的理论。这个新空间包含了各种已知的度量空间，作为度量空间的一种新的推广，具有重要的意义。本文引入了软度量空间的概念，并研究了它与已知空间的关系。然后，我们研究了这些空间的各种基本性质:软豪斯多夫性、软柯西序列和软收敛性。

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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Soft $A$-Metric Spaces

This paper draws on the theory of soft $A$-metric space using soft points of soft sets and the concept of $A$-metric spaces. This new space has great importance as a new type of generalisation of metric spaces since it includes various known metric spaces. In this paper, we introduce the concept of soft $A$-metric space and examine the relations with known spaces. Then, we examine various basic properties of these spaces: soft Hausdorffness, a soft Cauchy sequence, and soft convergence.

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来源期刊

Journal of New Theory

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