Research Article
BibTex RIS Cite
Year 2016, Volume: 4 Issue: 1, 1 - 5, 15.04.2016
https://doi.org/10.36753/mathenot.421343

Abstract

References

  • [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.

γb-sets and γb-continuous functions

Year 2016, Volume: 4 Issue: 1, 1 - 5, 15.04.2016
https://doi.org/10.36753/mathenot.421343

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.

References

  • [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.
There are 10 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Aynur Keskin Kaymakcı

Publication Date April 15, 2016
Submission Date September 11, 2015
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

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 Kaymakcı AK. γb-sets and γb-continuous functions. Math. Sci. Appl. E-Notes. April 2016;4(1):1-5. doi:10.36753/mathenot.421343
Chicago Kaymakcı, Aynur Keskin. “γb-Sets and γb-Continuous Functions”. Mathematical Sciences and Applications E-Notes 4, no. 1 (April 2016): 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 A. K. Kaymakcı, “γb-sets and γb-continuous functions”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 1–5, 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 2016), 1-5. https://doi.org/10.36753/mathenot.421343.
JAMA 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, 2016, pp. 1-5, doi:10.36753/mathenot.421343.
Vancouver Kaymakcı AK. γb-sets and γb-continuous functions. Math. Sci. Appl. E-Notes. 2016;4(1):1-5.

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.