ω-continuity on generalized neighbourhood systems

Authors : Esra DALAN YILDIRIM

Pages : 1974-1982

Doi:10.31801/cfsuasmas.425449

View : 14 | Download : 16

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :We introduce $\omega$-weakly-$insert ignore into journalissuearticles values(\mathfrak{g}_1, \mathfrak{g}_2);$-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 generate generalized topology. Also, we introduce two kinds of  continuity on generalized neighbourhood systems and investigate  relationships between these two kinds, $insert ignore into journalissuearticles values(\varphi, \varphi`);$-continuity and weakly-$insert ignore into journalissuearticles values(\varphi, \varphi`);$-continuity.
Keywords : ω weakly g₁ g₂, continuity, ω ϕϕ′, continuity, ω weakly ϕ ϕ′, continuity