- Konuralp Journal of Mathematics
- Vol: 10 Issue: 1
- On the Topology of $\delta_{\omega}$-Open Sets and Related Topics
On the Topology of $\delta_{\omega}$-Open Sets and Related Topics
Authors : Pınar Şaşmaz, Murad Özkoç
Pages : 203-209
View : 7 | Download : 3
Publication Date : 2022-04-15
Article Type : Research
Abstract :The main purpose of this paper is to study the notion of the δ ω δω -open sets defined by Al-Jarrah et al via δ ω δω -closure operator in [4]. We give various properties of the notions of δ ω δω -closure operator and δ ω δω -open set. Also, we introduce the notions of δ ω δω -continuity, ω ω - δ δ -continuity and weakly δ ω δω -continuity by means of δ ω δω -open sets [4]. Furthermore, we obtain several relationships, examples and counter-examples related to new classes of functions.Keywords : $delta_w$-open, $delta_w$-continuity, $w$-$delta$-continuity, weakly $delta_w$-continuity