On $\theta$-$b$-Irresolute Functions

Authors

  • N. Rajesh Department of Mathematics, Kongu Engineering College, Perundurai, Erode, Tamil Nadu, India

DOI:

https://doi.org/10.5644/SJM.03.1.11

Keywords:

Topological spaces, $b$-open sets

Abstract

The concept of $b$-open sets was introduced by Andrijevic. The aim of this paper is to introduce and characterize $\theta$-$b$-irresolute functions by using $b$-open sets.

 

2000 Mathematics Subject Classification. 54C05

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References

D. Andrijevic, On b-open sets, Math. Vesnik, 48 (1996), 59–64.

M. Caldas, S. Jafari and T. Noiri, On $wedge_{b}$-sets and the associated topology $tau^{wedge_{b}}$ (submitted).

E. Ekici, On γ-US-spaces, Indian J. Math., 47 (2-3) (2005), 131-138.

E. Ekici, On R-spaces, Int. J. Pure. Appl. Math., 25 (2) (2005), 163–172.

E. Ekici and M. Caldas, Slightly γ-continuous functions, Bol. Soc. Parana. Mat., (3) 22 (2) (2004), 63-74.

A. A. El-Atik, A study of some types of mappings on topological spaces, Master’s Thesis, Faculty of Science, Tanta University, Tanta, Egypt (1997).

O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15 (1965), 961-970.

J. H. Park, Strongly $theta$-$b$-continuous functions, Acta Math. Hungar., 110 (4) 2006, 347-359.

N. Rajesh, On strongly $b$-irresolute functions, (under preparation).

N. Rajesh, On weakly $b$-irresolute functions, (submitted).

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Published

12.06.2024

How to Cite

Rajesh, N. (2024). On $\theta$-$b$-Irresolute Functions. Sarajevo Journal of Mathematics, 3(1), 115–122. https://doi.org/10.5644/SJM.03.1.11

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