On soft quasi-pseudometric spaces

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2021-04-01 DOI:10.4995/AGT.2021.13084

Hope Sabao, O. O. Otafudu

引用次数: 1

Abstract

In this article, we introduce the concept of a soft quasi-pseudometric space. We show that every soft quasi-pseudometric induces a compatible quasi-pseudometric on the collection of all soft points of the absolute soft set whenever the parameter set is finite. We then introduce the concept of soft Isbell convexity and show that a self non-expansive map of a soft quasi-metric space has a nonempty soft Isbell convex fixed point set. 2010 MSC: 03E72; 08A72; 47H10; 54E35; 54E15.

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关于软拟伪度量空间

在本文中，我们引入了软拟伪度量空间的概念。证明了当参数集是有限时，在绝对软集的所有软点的集合上，每一个软拟伪度量都能导出一个相容的拟伪度量。然后我们引入了软Isbell凸的概念，并证明了软拟度量空间的自非膨胀映射具有非空的软Isbell凸不动点集。2010 msc: 03e72;08年a72;47 h10;54 e35;54 e15。

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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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.