ω-continuity on generalized neighbourhood systems

Abstract

We introduce $\omega$-weakly-$(\mathfrak{g}_1, \mathfrak{g}_2)$-continuous functions on generalized topological spaces and study their relations with other classes of generalized continuous functions given in [1,8]. Then, we define the notion of omega open set on generalized neighbourhood systems as $\omega$-$\varphi$-open set. By using these sets, we