γb-sets and γb-continuous functions

Aynur Keskin Kaymakcı

doi:10.36753/mathenot.421343

EN

γb-sets and γb-continuous functions

Abstract

First of all we introduce a new class of sets is called γb-sets and a new type of continuous functions is called γb-continuous functions. Then, we investigate some properties and characterizations. Besides, γb-sets and γb-continuity are used to extend known results for b-open sets and b-continuity.

Keywords

γb-sets,b-open sets,γb-continuity,b-continuity

References

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[3] Ekici, E. and Caldas, M., Slightly γ-continuous functions. Bol. Soc. Paran. Math. (3s) 22 (2004), no.2, 63-74.
[4] El-Atik, A. A., A study on some types of mappings on topological spaces. M. Sc. Thesis, Tanta University, Egypt, 1997.
[5] Levine, N., Semi-open sets and semi-continuity in topological spaces. Amer. Math. Monthly 70 (1963), 36-41.
[6] Maheswari, S. N. and Thakur, S. S., On α-irresolute mappings. Tamkang J. Math. 11 (1980), 209-214.
[7] Mashhour, A. S., Abd El-Monsef, M. E. and El-Deeb, S. N., On precontinuous and weak precontinuous mappings. Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.
[8] Mashhour, A. S., Hasanein, I. A. and El-Deeb, S. N., α-continuous and α-open mappings. Acta Math. Hungar. 41 (1983), no. 3-4, 213-218.
[9] Nijastad, O., On some classes of nearly open sets. Pacific J. Math. 15 (1965), no. 3, 961-970.
[10] Reilly, I. L. and Vamanamurthy, M. K., On α-continuity in topological spaces. Acta Math. Hungar. 45 (1985), no. 1-2, 27-32.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Aynur Keskin Kaymakcı

Publication Date

April 15, 2016

Submission Date

September 11, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

DOI

https://doi.org/10.36753/mathenot.421343

IZ

https://izlik.org/JA88DU35XN

APA

Kaymakcı, A. K. (2016). γb-sets and γb-continuous functions. Mathematical Sciences and Applications E-Notes, 4(1), 1-5. https://doi.org/10.36753/mathenot.421343

AMA

1.Kaymakcı AK. γb-sets and γb-continuous functions. Math. Sci. Appl. E-Notes. 2016;4(1):1-5. doi:10.36753/mathenot.421343

Chicago

Kaymakcı, Aynur Keskin. 2016. “γb-Sets and γb-Continuous Functions”. Mathematical Sciences and Applications E-Notes 4 (1): 1-5. https://doi.org/10.36753/mathenot.421343.

EndNote

Kaymakcı AK (April 1, 2016) γb-sets and γb-continuous functions. Mathematical Sciences and Applications E-Notes 4 1 1–5.

IEEE

[1]A. K. Kaymakcı, “γb-sets and γb-continuous functions”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 1–5, Apr. 2016, doi: 10.36753/mathenot.421343.

ISNAD

Kaymakcı, Aynur Keskin. “γb-Sets and γb-Continuous Functions”. Mathematical Sciences and Applications E-Notes 4/1 (April 1, 2016): 1-5. https://doi.org/10.36753/mathenot.421343.

JAMA

1.Kaymakcı AK. γb-sets and γb-continuous functions. Math. Sci. Appl. E-Notes. 2016;4:1–5.

MLA

Kaymakcı, Aynur Keskin. “γb-Sets and γb-Continuous Functions”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 1, Apr. 2016, pp. 1-5, doi:10.36753/mathenot.421343.

Vancouver

1.Aynur Keskin Kaymakcı. γb-sets and γb-continuous functions. Math. Sci. Appl. E-Notes. 2016 Apr. 1;4(1):1-5. doi:10.36753/mathenot.421343