ω-CONTINUITY ON GENERALIZED NEIGHBOURHOOD SYSTEMS.

We introduce ω-weakly-(g1, g2)-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 ω-φ-open set. By using these sets, we generate generalized topology. Also, we introduce two kinds of continuity on generalized neighbourhood systems and investigate relationships between these two kinds, (φ,φ​′​​)-continuity and weakly-(φ,φ​′​​)-continuity. [ABSTRACT FROM AUTHOR]