- Journal of New Theory
- Sayı: 46
- On Strong $(i,j)$-Semi$^{*}$-$\\Gamma $-Open Sets in Ideal Bitopological Space
On Strong $(i,j)$-Semi$^{*}$-$\\Gamma $-Open Sets in Ideal Bitopological Space
Authors : Ibtissam Bukhatwa, Sibel Demiralp
Pages : 89-98
Doi:10.53570/jnt.1442116
View : 45 | Download : 70
Publication Date : 2024-03-29
Article Type : Research
Abstract :In this study, we introduce the concepts of $(i,j)$-semi$^{*}$-$\\Gamma $-open sets within the context of ideal bitopological spaces. This concept is demonstrated to be weaker than the established the notion of $(i,j)$-semi-$\\Gamma $-open sets. Subsequently, we define strong $(i,j)$-semi$^{*}$-$\\Gamma $-open sets in ideal bitopological spaces, elucidating some of their essential characteristics. Furthermore, leveraging this newly introduced concept, we establish the notions of strong $(i,j)$-semi$^{*}$-$\\Gamma $-interior and strong $(i,j)$-semi$^{*}$-$\\Gamma $-closure.Keywords : Ideal bitopological spaces, generalized open sets, $(i, j)$-$\\Gamma $-open sets, j)$-semi$^{*}$-$\\Gamma $-open sets