Research Article

On the 0-Cauchy completion of a partial b-metric space

Published in: Quaestiones Mathematicae
Volume 46 , issue 9 , 2023 , pages: 1743–1750

DOI: 10.2989/16073606.2022.2142170

Author(s): Maggie Aphane Sefako Makgatho Health Sciences University, South Africa , Seithuti Moshokoa Tshwane University of Technology, South Africa , Fanyana Ncongwane Tshwane University of Technology, South Africa

Keywords: 54D99 , 54E50 , 54E99 , Partial b-metric space , b-metric space , completions

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Abstract

The purpose of the paper is to extend the 0-Cauchy completion theory of a partial metric space to the context of a partial b-metric space. We will use the associated b-metric space to construct the required completion.

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