γb-sets and γb-continuous functions

Yıl 2016, , 1 - 5, 15.04.2016

Aynur Keskin Kaymakcı

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

• [1] Andrijevic, D., On b-open sets. Mat. Vesnik 48 (1996), 59-64.
• [2] Crossley, S. G. and Hildebrand, S. K., Semi-topological properties. Fund. Math. 74 (1972), 233-254.
• [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.