On \(G^{\beta}\) -Proper ty of \(G\)-Metric Spaces
Mubarak AL-Hubaishi *
Depar tment of Mathematics,Faculty of Education, University of Saba Region, Mareb, Yemen.
Amin Saif
Depar tment of Mathematics, Faculty of Sciences, Taiz University, Taiz, Yemen.
*Author to whom correspondence should be addressed.
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.
Keywords: Open set, Metr ic spaces.