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

ω-continuity on generalized neighbourhood systems

Esra DALAN YILDIRIM
Sayfa
1974–1982
Yayın Tarihi
2019-08-01
DOI
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By using these sets, we

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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].
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Temel Bulgular & Veri:Then, we define the notion of omega open set on generalized neighbourhood systems as $\omega$-$\varphi$-open set.
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Sonuç & Katkı:By using these sets, we
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:ω-weakly-(g₁.g₂)-continuity · ω-(ϕϕ′)-continuity · ω-weakly-(ϕ.ϕ′)-continuity

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

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Bu Makaleye Atıf Yap

YILDIRIM, E. D. (2019). ω-continuity on generalized neighbourhood systems. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 2, 1974–1982. https://ajindex.com/articles/746980

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Kaynakça (6)

  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 ω-continuous functions, Acta Math. Univ. Comenian., 79(2) (2010), 253-264. Császár, Á., Generalized topology, generalized continuity, Acta Math. Hungar., 96(4) (2002), 351-357. Császár, Á., On generalized neighbourhood systems, Acta Math. Hungar., 121(4) (2008), 395-400.
  3. Engelking, R., General Topology, Berlin: Helderman-Verlag, 1989.
  4. Hdeib, HZ., ω-closed mappings, Rev. Colombiana Mat., 16(1-2) (1982), 65-78.
  5. Hdeib, HZ., ω-continuous functions, Dirasat, 16(2) (1989), 136-142.
  6. Min, WK., Weak continuity on generalized topological spaces, Acta Math. Hungar., 124(1-2) (2009), 73-81.