Esra Dalan Yıldırım2025-10-222019[1] Al Ghour S. and Zareer W. Omega open sets in generalized topological spaces J. Nonlinear Sci. Appl. 9(5) (2016)3010-3017.[2] Al-Zoubi K. and Al-Jarah H. Weakly !-continuous functions Acta Math. Univ. Comenian. 79(2) (2010) 253-264.[3] Csâszâr £. Generalized topology generalized continuity Acta Math. Hungar. 96(4) (2002) 351-357.[4] Csâszâr £. On generalized neighbourhood systems Acta Math. Hungar. 121(4) (2008) 395-400.[5] Engelking R. General Topology Berlin: Helderman-Verlag 1989.[6] Hdeib HZ. !-closed mappings Rev. Colombiana Mat. 16(1-2) (1982) 65-78.[7] Hdeib HZ. !-continuous functions Dirasat 16(2) (1989) 136-142.[8] Min WK. Weak continuity on generalized topological spaces Acta Math. Hungar. 124(1-2) (2009) 73-81303-59912618-647010.31801/cfsuasmas.425449https://gcris.yasar.edu.tr/handle/123456789/10821We 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.İngilizceMatematikArticle