Some Generalized Continuities Functions on GeneralizedTopological Spaces

Objective & Hypothesis:In this paper, we introduce (g, αg )-continuous functions, (g, σg )continuous functions,(g, πg )-continuous functions,and (g, βg )continuous functions on generalized topological spaces.

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Key Findings & Data:These generalized continuous functions are defined by generalized open sets.

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Conclusion & Impact:Wediscuss some characterizations and some applications of them.

🔬Design:Article

📍Scope:Comprehensive Sample

⚙️Variables:g )-continuous functions · αg )-continuous functions · σg )- continuous functions

Abstract

In this paper, we introduce (g, αg )-continuous functions, (g, σg )continuous functions,(g, πg )-continuous functions,and (g, βg )continuous functions on generalized topological spaces. These generalized continuous functions are defined by generalized open sets. Wediscuss some characterizations and some applications of them.

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Keywords

(g g )-continuous functions αg )-continuous functions σg )- continuous functions πg )-continuous functions βg )-continuous functions2000 AMS Classification:54A05 54D15

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Cite This Article

Cao, C., Wang, W., Yan, J., Wang, B. (2013). Some Generalized Continuities Functions on GeneralizedTopological Spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 2. https://ajindex.com/articles/1403485

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References (5)

´ A. Cs´ asz´ ar, Generalized topology, generalized continuity, Acta Math. Hungar., 96, 351–357, 200 ´ A. Cs´ asz´ ar, γ-connected sets, Acta Math. Hungar., 101, 273–279, 2003.
´ A. Cs´ asz´ ar, Exremally disconnected generalized topologies, Annales Univ. Sci. Budapest., 47, 91–96, 2004.
´ A. Cs´ asz´ ar, Generalized open sets in generalized topologies, Acta Math. Hungar., 106, 53– 66, 2005.
´ A. Cs´ asz´ ar, Product of generalized topologies, Acta Math. Hungar., 134, 132–138, 2009. R. Shen, Remarks on products of generalized topologies, Acta Math. Hungar., 124, 363–369, 200
R. Shen, A note on generalized connectedness, Acta Math. Hungar., 122, 231–235, 2009. W. K. Min, Generalized continuous functions defined by genenralized open sets on generalized topological spaces, Acta Math. Hungar., 128, 299–306, 2010.