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
- J. C. Kelly, Bitopological Spaces, Proceedings of the London Mathematical Society 3(1) (1963) 71-89.
- K. Kuratowski, Topology Vols 1 and 2, Academic Press (1966).
- S. Kasahara, Operation-Compact Spaces, Mathematica Japonica 24(1) (1979) 97-105.
- F. H. Khedr, Operation on Bitopologies, Delta Journal Of Science 8(1) (1984) 309-320.
- F. H. Khedr, K. H. Abdelhakiem, Operations on Bitopological Spaces, Fasciculi Mathematici 45 (2010) 47-57.
- D. Andrijevic, On b-open Sets, Matematicki Vesnik 205 (1996) 59-64.
- T. Al-Hawary, A. Al-Omari, b-open and bcontinuity in Bitopological Spaces, Al-Manarah 13(3) (2007) 89-101.
- 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