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Research Article Open access CC BY 4.0

On \(G^{\beta}\) -Proper ty of \(G\)-Metric Spaces

Mubarak AL-Hubaishi, Amin Saif

Asian Journal of Advanced Research and Reports · pp. 37–45 · Published 10 Mar 2021

10.9734/ajarr/2021/v15i230365

Abstract

The purpose of this paper is to introduce and investigate weak form of G-open sets in G-metric spaces, namely \(G^{\beta}\)-open sets. The relationships among this form with the other known sets are introduced. We give the notions of the interior operator, the closure operator and frontier operator via \(G^{\beta}\)-open sets.

Open set Metr ic spaces.

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