Open AccessOn \(G^{\beta}\) -Proper ty of \(G\)-Metric Spaces
Author(s) -
Mubarak AL-Hubaishi,
Amin Saif
Publication year - 2021
Publication title -
asian journal of advanced research and reports
Language(s) - English
Resource type - Journals
ISSN - 2582-3248
DOI - 10.9734/ajarr/2021/v15i230365
Subject(s) - closure operator , operator (biology) , mathematics , closure (psychology) , metric (unit) , open set , beta (programming language) , product metric , metric space , discrete mathematics , algebra over a field , pure mathematics , computer science , closed set , engineering , programming language , biochemistry , chemistry , operations management , repressor , transcription factor , economics , market economy , gene
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.