ω-continuity on generalized neighbourhood systems

Year 2019, Volume: 68 Issue: 2, 1974 - 1982, 01.08.2019

Esra Dalan Yıldırım

https://doi.org/10.31801/cfsuasmas.425449

Cited By: 1

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

generate generalized topology. Also, we introduce two kinds of continuity on generalized neighbourhood systems and investigate relationships between these two kinds, $(\varphi, \varphi')$-continuity and weakly-$(\varphi, \varphi')$-continuity.

Keywords

ω-weakly-(g₁.g₂)-continuity, ω-(ϕϕ′)-continuity, ω-weakly-(ϕ.ϕ′)-continuity

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