Research Article

On Some Generalized Open Sets in Ideal Bitopological Spaces

Number: 32 September 30, 2020
EN

On Some Generalized Open Sets in Ideal Bitopological Spaces

Abstract

In this article, we introduce and study the concepts of \gammaij- I -sets, \gammaij - preI -open sets, and \gammaij -b-I -open sets by generalizing (i,j)-I-open, (i,j)-preI-open, and (i,j)-bI- open sets, respectively, in ideal bitopological spaces with an operation \gamma: \tau \rightarrow P(X). Further, we describe and study (\gamma, \delta)ij-bI-continuous functions in ideal bitopological spaces through this paper                                                                                                                                                                                                                                                                                      .

Keywords

References

  1. J. C. Kelly, Bitopological Spaces, Proceedings of the London Mathematical Society 3(1) (1963) 71-89.
  2. K. Kuratowski, Topology Vols 1 and 2, Academic Press (1966).
  3. S. Kasahara, Operation-Compact Spaces, Mathematica Japonica 24(1) (1979) 97-105.
  4. F. H. Khedr, Operation on Bitopologies, Delta Journal Of Science 8(1) (1984) 309-320.
  5. F. H. Khedr, K. H. Abdelhakiem, Operations on Bitopological Spaces, Fasciculi Mathematici 45 (2010) 47-57.
  6. D. Andrijevic, On b-open Sets, Matematicki Vesnik 205 (1996) 59-64.
  7. T. Al-Hawary, A. Al-Omari, b-open and b􀀀continuity in Bitopological Spaces, Al-Manarah 13(3) (2007) 89-101.
  8. A. C. Guler, G. Aslim, bI-open Sets and Decomposition of Continuity via Idealization, Proceedings of Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan 22 (2005) 27-32.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2020

Submission Date

February 24, 2020

Acceptance Date

August 2, 2020

Published in Issue

Year 2020 Number: 32

APA
Bukhatwa, İ., & Demiralp, S. (2020). On Some Generalized Open Sets in Ideal Bitopological Spaces. Journal of New Theory, 32, 1-10. https://izlik.org/JA53JW28UL
AMA
1.Bukhatwa İ, Demiralp S. On Some Generalized Open Sets in Ideal Bitopological Spaces. JNT. 2020;(32):1-10. https://izlik.org/JA53JW28UL
Chicago
Bukhatwa, İbtissam, and Sibel Demiralp. 2020. “On Some Generalized Open Sets in Ideal Bitopological Spaces”. Journal of New Theory, nos. 32: 1-10. https://izlik.org/JA53JW28UL.
EndNote
Bukhatwa İ, Demiralp S (September 1, 2020) On Some Generalized Open Sets in Ideal Bitopological Spaces. Journal of New Theory 32 1–10.
IEEE
[1]İ. Bukhatwa and S. Demiralp, “On Some Generalized Open Sets in Ideal Bitopological Spaces”, JNT, no. 32, pp. 1–10, Sept. 2020, [Online]. Available: https://izlik.org/JA53JW28UL
ISNAD
Bukhatwa, İbtissam - Demiralp, Sibel. “On Some Generalized Open Sets in Ideal Bitopological Spaces”. Journal of New Theory. 32 (September 1, 2020): 1-10. https://izlik.org/JA53JW28UL.
JAMA
1.Bukhatwa İ, Demiralp S. On Some Generalized Open Sets in Ideal Bitopological Spaces. JNT. 2020;:1–10.
MLA
Bukhatwa, İbtissam, and Sibel Demiralp. “On Some Generalized Open Sets in Ideal Bitopological Spaces”. Journal of New Theory, no. 32, Sept. 2020, pp. 1-10, https://izlik.org/JA53JW28UL.
Vancouver
1.İbtissam Bukhatwa, Sibel Demiralp. On Some Generalized Open Sets in Ideal Bitopological Spaces. JNT [Internet]. 2020 Sep. 1;(32):1-10. Available from: https://izlik.org/JA53JW28UL

 

TR Dizin 26024
 
Electronic Journals Library 13651
 
                                EBSCO 36309                                     DOAJ 33468
Scilit 20865                                                         SOBİAD 30256

 

29324 JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC)
 

The Journal of New Theory's website content and procedures are publicly accessible under the CC BY-NC license; commercial use requires our permission.