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Generalization of weakly clopen and strongly θ-b-continuous functions

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  • Ekici, Erdal

Abstract

In this paper, we introduce a new class of functions called weakly BR-continuous function including the classes of strongly θ-b-continuous functions due to Park [Park JH. Strongly θ-b-continuous functions. Acta Math Hungar 2006;110(4):347–59] and weakly clopen functions due to Son et al. [Son MJ, Park JH, Lim KM. Weakly clopen functions. Chaos, Solitons & Fractals 2007;33:1746–55]. Characterizations and properties of the class of weakly BR-continuous functions are investigated. Moreover, the relationships among weakly BR-continuous functions, strongly θ-b-continuous functions, weakly clopen functions and the related functions are investigated.

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  • Ekici, Erdal, 2008. "Generalization of weakly clopen and strongly θ-b-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 79-88.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:1:p:79-88
    DOI: 10.1016/j.chaos.2008.01.012
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    1. Hatir, E. & Noiri, T., 2009. "On δ–β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 205-211.

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