Local Antisymmetric Connectedness in Asymmetrically Normed Real Vector Spaces-Reference-Cited by-同舟云学术

Local Antisymmetric Connectedness in Asymmetrically Normed Real Vector Spaces

Published:2023-09-30 Issue:3 Volume:6 Page:100-105
ISSN:2619-9653
Container-title:Universal Journal of Mathematics and Applications
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Author:

JAVANSHIR Nezakat¹^ORCID,YILDIZ Filiz²^ORCID

Affiliation:

1. ANKARA YILDIRIM BEYAZIT UNIVERSITY

2. HACETTEPE UNIVERSITY

Abstract

In this paper, some properties of locally antisymmetrically connected spaces which are the localized version of the antisymmetrically connected $T_0$-quasi-metric spaces constructed as the natural counterparts of connected complementary graphs, are presented in terms of asymmetric norms. According to that, we investigated some different aspects and examples of local antisymmetric connectedness in the framework of asymmetrically normed real vector spaces. Specifically, it is proved that the structures of antisymmetric connectedness and local antisymmetric connectedness coincide for the $T_0$-quasi-metrics induced by the asymmetric norms which associate the theory of quasi-metrics with functional analysis.

Publisher

Universal Journal of Mathematics and Applications

Subject

Materials Chemistry,Economics and Econometrics,Media Technology,Forestry

Reference12 articles.

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