International Journal of Nonlinear Analysis and Applications

Some properties of q-regularity and q-normality in supra topological spaces

Document Type : Research Paper

Authors

1 Directorate of Education Salah Eddin, Khaled Ibn Al Walid School, Tikrit, Iraq

2 Directorate of Education Kirkuk, Quraish School, Kirkuk City, Iraq

3 College of Computer and Mathematics, Tikrit University, Iraq

Abstract

The objective of this article is, first, to introduce and investigate the notions of supra q-regular and supra q-normal by using the concepts of q-regularity  and q-normality. Second, to introduce some types of supra q-regular and supra q-normal continuous mappings and investigate some properties and point out their main features of them. Finally, we introduce and investigate supra q-regular (resp; supra q-normal) homeomorphism and supra q-regular (resp; supra  q-normal) irresolute map also supra q-regular (resp; supra q-normal) contra continuity map and investigate some properties of these mappings with several examples are presented.

Keywords

[1] M. Abo-Elhamayel and T.M. Al-Shami, Supra homeomorphism in supra topological ordered spaces, Facta Univ. Ser. Math. Inform. 31 (2016), no. 5, 1091–1106.
[2] T.M. Al-Shami, Some results related to supra topological spaces, J. Adv. Stud. Topol. 7 (2016), no. 4, 283–294.
[3] T.M. Al-Shami, On supra semi open sets and some applications on topological spaces, J. Adv. Stud. Topol. 8 (2017), no. 2, 144-153.
[4] R. Devi, S. Sampathkumar and M. Caldas, On supra α open sets and Sα-continuous functions continuous maps, Gen. Math. 16 (2008), no. 2, 77–84.
[5] M.E. El-Shafei, M. Abo-Elhamayel and T. M. Al-Shami, On supra-R-open sets and some applications on topological spaces, J. Prog. Res. Math. 8 (2016), 1237–1248.
[6] R.M. Latif, Supra-R-compactness and supra-R-connectedness, Int. J. Recent Trends Engin. Res. 4 (2018), no. 1, 426–443.
[7] S. Mashhour, A.A. Allam, F.S. Mahmoud and F.H. Khedr, On supra topological spaces, Indian J. Pure Appl. Math. 14 (1983), no. 4, 502–510.
[8] O.R. Sayed and T. Noiri, On supra b-open sets and supra b-continuity, Eur. J. Appl. Math. 3 (2010), no. 2, 295–302.
International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 95-101
  • Receive Date: 09 December 2021
  • Revise Date: 20 January 2022
  • Accept Date: 11 February 2022