Research Article
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Year 2016, Volume: 4 Issue: 1 , 1 - 5 , 15.04.2016
https://doi.org/10.36753/mathenot.421343
https://izlik.org/JA88DU35XN

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
https://izlik.org/JA88DU35XN

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 Research Article
Authors

Aynur Keskin Kaymakcı

Submission Date September 11, 2015
Publication Date April 15, 2016
DOI https://doi.org/10.36753/mathenot.421343
IZ https://izlik.org/JA88DU35XN
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 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

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