Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Sayı: 32, 1 - 10, 30.09.2020

Öz

Kaynakça

  • 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 b􀀀continuity 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.
  • E. Ekici, On Pre-I-open sets, Semi-I-open sets and b-I-open sets in Ideal Topological Spaces, Acta Universitatis Apulensis 30 (2012) 293-303.
  • N. Rajesh, M. Caldas, S. Jafari, Preopen Sets in Ideal Bitopological Spaces, Boletim da Sociedade Paranaense de Matematica 29(2) (2011) 61-68.
  • H. Z. Ibrahim, On Pre-I-Open Sets In Ideal Topological Spaces, arxiv preprint arxiv: 1501.02494. 2015 Jan 11.
  • S. D. Jyoti, bI-open Sets in Ideal Bitopological Space, International Journal of Pure and Applied Mathematics 105(1) (2015) 7-18.
  • S. Hussain, On Generalized Open Sets, Hacettepe Journal of Mathematics and Statistics 47(6) (2018) 1438-1446.
  • I. Bukhatwa, S. Demiralp, On Generalized -Open Sets in Ideal Bitopological Space, European Journal of Pure and Applied Mathematics 13(2) (2020) 269-279.
  • M. Ilkhan, M. Akyigit, E. E. Kara, On New Types of Sets via 􀀀open Sets in Bitopological Spaces, Communications Series A1 Mathematics & Statistics 67(1) (2017) 225-234.
  • M. Kar, S. S. Thakur, S. S. Rana, J. K. Maitra, I-Continuous Functions in Ideal Bitopological Spaces, American Journal of Engineering Research 3(3) (2014) 51-55.
  • M. Akdağ, On bI-open Sets and bI-continuous Functions, International Journal of Mathematics and Mathematical Sciences Article ID 75721 (2007) 13 pages.
  • M. Caldas, S. Jafari, N. Rajesh, Some Fundamental Properties of Beta-open Sets in Ideal Bitopo- logical Spaces, European Journal of Pure and Applied Mathematics 6(2) (2013) 247-255.
  • B. C. Tripathy, D. J. Sarma, Generalized b-closed Sets in Bitopological Spaces, Proyecciones (Antofagasta) 33(3) (2014) 315-324.
  • J. K. Maitra, H. K. Tripathi, Local Function in Generalized Ideal Topological Spaces, VISLESANA 11(1) (2014) 191-195.
  • H. Ogata, Operations on Topological Spaces and Associated Topology, Mathematica Japonica 36 (1991) 175-184.
  • G. Şenel, N. Cağman, Soft Closed Sets on Soft Bitopological Space, Journal of New Results in Science 3(5) (2014) 57-66.
  • G. Şenel, On Bitopological Spaces, Master's Thesis, Ege University (2009) Izmir, Turkey.
  • R. Vaidyanathaswamy, The Localisation Theory in Set Topology, Proceedings of the Academic of Sciences, 20 (1945) 51-61.

On Some Generalized Open Sets in Ideal Bitopological Spaces

Yıl 2020, Sayı: 32, 1 - 10, 30.09.2020

Öz

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                                                                                                                                                                                                                                                                                      .

Kaynakça

  • 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 b􀀀continuity 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.
  • E. Ekici, On Pre-I-open sets, Semi-I-open sets and b-I-open sets in Ideal Topological Spaces, Acta Universitatis Apulensis 30 (2012) 293-303.
  • N. Rajesh, M. Caldas, S. Jafari, Preopen Sets in Ideal Bitopological Spaces, Boletim da Sociedade Paranaense de Matematica 29(2) (2011) 61-68.
  • H. Z. Ibrahim, On Pre-I-Open Sets In Ideal Topological Spaces, arxiv preprint arxiv: 1501.02494. 2015 Jan 11.
  • S. D. Jyoti, bI-open Sets in Ideal Bitopological Space, International Journal of Pure and Applied Mathematics 105(1) (2015) 7-18.
  • S. Hussain, On Generalized Open Sets, Hacettepe Journal of Mathematics and Statistics 47(6) (2018) 1438-1446.
  • I. Bukhatwa, S. Demiralp, On Generalized -Open Sets in Ideal Bitopological Space, European Journal of Pure and Applied Mathematics 13(2) (2020) 269-279.
  • M. Ilkhan, M. Akyigit, E. E. Kara, On New Types of Sets via 􀀀open Sets in Bitopological Spaces, Communications Series A1 Mathematics & Statistics 67(1) (2017) 225-234.
  • M. Kar, S. S. Thakur, S. S. Rana, J. K. Maitra, I-Continuous Functions in Ideal Bitopological Spaces, American Journal of Engineering Research 3(3) (2014) 51-55.
  • M. Akdağ, On bI-open Sets and bI-continuous Functions, International Journal of Mathematics and Mathematical Sciences Article ID 75721 (2007) 13 pages.
  • M. Caldas, S. Jafari, N. Rajesh, Some Fundamental Properties of Beta-open Sets in Ideal Bitopo- logical Spaces, European Journal of Pure and Applied Mathematics 6(2) (2013) 247-255.
  • B. C. Tripathy, D. J. Sarma, Generalized b-closed Sets in Bitopological Spaces, Proyecciones (Antofagasta) 33(3) (2014) 315-324.
  • J. K. Maitra, H. K. Tripathi, Local Function in Generalized Ideal Topological Spaces, VISLESANA 11(1) (2014) 191-195.
  • H. Ogata, Operations on Topological Spaces and Associated Topology, Mathematica Japonica 36 (1991) 175-184.
  • G. Şenel, N. Cağman, Soft Closed Sets on Soft Bitopological Space, Journal of New Results in Science 3(5) (2014) 57-66.
  • G. Şenel, On Bitopological Spaces, Master's Thesis, Ege University (2009) Izmir, Turkey.
  • R. Vaidyanathaswamy, The Localisation Theory in Set Topology, Proceedings of the Academic of Sciences, 20 (1945) 51-61.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

İbtissam Bukhatwa

Sibel Demiralp 0000-0002-3977-587X

Yayımlanma Tarihi 30 Eylül 2020
Gönderilme Tarihi 24 Şubat 2020
Yayımlandığı Sayı Yıl 2020 Sayı: 32

Kaynak Göster

APA Bukhatwa, İ., & Demiralp, S. (2020). On Some Generalized Open Sets in Ideal Bitopological Spaces. Journal of New Theory(32), 1-10.
AMA Bukhatwa İ, Demiralp S. On Some Generalized Open Sets in Ideal Bitopological Spaces. JNT. Eylül 2020;(32):1-10.
Chicago Bukhatwa, İbtissam, ve Sibel Demiralp. “On Some Generalized Open Sets in Ideal Bitopological Spaces”. Journal of New Theory, sy. 32 (Eylül 2020): 1-10.
EndNote Bukhatwa İ, Demiralp S (01 Eylül 2020) On Some Generalized Open Sets in Ideal Bitopological Spaces. Journal of New Theory 32 1–10.
IEEE İ. Bukhatwa ve S. Demiralp, “On Some Generalized Open Sets in Ideal Bitopological Spaces”, JNT, sy. 32, ss. 1–10, Eylül 2020.
ISNAD Bukhatwa, İbtissam - Demiralp, Sibel. “On Some Generalized Open Sets in Ideal Bitopological Spaces”. Journal of New Theory 32 (Eylül 2020), 1-10.
JAMA Bukhatwa İ, Demiralp S. On Some Generalized Open Sets in Ideal Bitopological Spaces. JNT. 2020;:1–10.
MLA Bukhatwa, İbtissam ve Sibel Demiralp. “On Some Generalized Open Sets in Ideal Bitopological Spaces”. Journal of New Theory, sy. 32, 2020, ss. 1-10.
Vancouver Bukhatwa İ, Demiralp S. On Some Generalized Open Sets in Ideal Bitopological Spaces. JNT. 2020(32):1-10.


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