Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

!-CONTINUITY ON GENERALIZED NEIGHBOURHOOD SYSTEMS

!-CONTINUITY ON GENERALIZED NEIGHBOURHOOD SYSTEMS

Esra DALAN YILDIRIM

Sayfa
1974–1982
DOI
—

Abstract

We introduce !-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 deÖne the notion of omegaopen set on generalized neighbourhood systems as !-'-open set. By usingthese sets, we generate generalized topology. Also, we introduce two kinds ofcontinuity on generalized neighbourhood systems and investigate relationshipsbetween these two kinds, ('; '0)-continuity and weakly-('; '0)-continuity.