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BIOPERATIONS ON $\alpha$-SEMIOPEN SETS

Year 2016, Volume: 4 Issue: 2, 193 - 208, 01.10.2016

Abstract

The aim of this paper is to introduce and study the concept of $\alpha_{[\gamma, \gamma^{'}]}$-semiopen sets. Using this set, we introduce and study the concept of $(\alpha_{[\gamma, \gamma^{'}]}, \alpha_{[\beta, \beta^{'}]})$-semicontinuous and $(\alpha_{[\gamma, \gamma^{'}]}, \alpha_{[\beta, \beta^{'}]})$-irresolute functions.

References

  • [1] A. B. Khalaf, S. Jafari and H. Z. Ibrahim, Bioperations on -open sets in topological spaces, International Journal of Pure and Applied Mathematics, 103 (2015), no. 4, 653-666.
  • [2] H. Z. Ibrahim, On a class of $\alpha$-open sets in a topological space, Acta Scientiarum. Technology, 35 (2013), no. 3, 539-545.
  • [3] O. Njastad, On some classes of nearly open sets, Paci c J. Math., 15 (1965), 961-970.
  • [4] N. Levine, semiopen sets and semicontinuity in Topological Spaces, Amer. Math. Monthly, 70 (1963), 36-41.
  • [5] H. Maki and T. Noiri, Bioperations and some separation axioms, Scientiae Mathematicae Japonicae Online, 4 (2001), 165-180.
Year 2016, Volume: 4 Issue: 2, 193 - 208, 01.10.2016

Abstract

References

  • [1] A. B. Khalaf, S. Jafari and H. Z. Ibrahim, Bioperations on -open sets in topological spaces, International Journal of Pure and Applied Mathematics, 103 (2015), no. 4, 653-666.
  • [2] H. Z. Ibrahim, On a class of $\alpha$-open sets in a topological space, Acta Scientiarum. Technology, 35 (2013), no. 3, 539-545.
  • [3] O. Njastad, On some classes of nearly open sets, Paci c J. Math., 15 (1965), 961-970.
  • [4] N. Levine, semiopen sets and semicontinuity in Topological Spaces, Amer. Math. Monthly, 70 (1963), 36-41.
  • [5] H. Maki and T. Noiri, Bioperations and some separation axioms, Scientiae Mathematicae Japonicae Online, 4 (2001), 165-180.
There are 5 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Alias B. Khalaf This is me

HARIWAN Z. Ibrahım

Publication Date October 1, 2016
Submission Date July 15, 2015
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

APA Khalaf, A. B., & Ibrahım, H. Z. (2016). BIOPERATIONS ON $\alpha$-SEMIOPEN SETS. Konuralp Journal of Mathematics, 4(2), 193-208.
AMA Khalaf AB, Ibrahım HZ. BIOPERATIONS ON $\alpha$-SEMIOPEN SETS. Konuralp J. Math. October 2016;4(2):193-208.
Chicago Khalaf, Alias B., and HARIWAN Z. Ibrahım. “BIOPERATIONS ON $\alpha$-SEMIOPEN SETS”. Konuralp Journal of Mathematics 4, no. 2 (October 2016): 193-208.
EndNote Khalaf AB, Ibrahım HZ (October 1, 2016) BIOPERATIONS ON $\alpha$-SEMIOPEN SETS. Konuralp Journal of Mathematics 4 2 193–208.
IEEE A. B. Khalaf and H. Z. Ibrahım, “BIOPERATIONS ON $\alpha$-SEMIOPEN SETS”, Konuralp J. Math., vol. 4, no. 2, pp. 193–208, 2016.
ISNAD Khalaf, Alias B. - Ibrahım, HARIWAN Z. “BIOPERATIONS ON $\alpha$-SEMIOPEN SETS”. Konuralp Journal of Mathematics 4/2 (October 2016), 193-208.
JAMA Khalaf AB, Ibrahım HZ. BIOPERATIONS ON $\alpha$-SEMIOPEN SETS. Konuralp J. Math. 2016;4:193–208.
MLA Khalaf, Alias B. and HARIWAN Z. Ibrahım. “BIOPERATIONS ON $\alpha$-SEMIOPEN SETS”. Konuralp Journal of Mathematics, vol. 4, no. 2, 2016, pp. 193-08.
Vancouver Khalaf AB, Ibrahım HZ. BIOPERATIONS ON $\alpha$-SEMIOPEN SETS. Konuralp J. Math. 2016;4(2):193-208.
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