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Some properties of $q$-regularity and $q$-normality in supra topological spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 13، شماره 2، مهر 2022، صفحه 95-101 اصل مقاله (389.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6234 | ||
| نویسندگان | ||
| Hind Fadhil Abbas* 1؛ Luma Hazim Othman2؛ Taha Hameed Jasim3 | ||
| 1Directorate of Education Salah Eddin, Khaled Ibn Al Walid School, Tikrit, Iraq | ||
| 2Directorate of Education Kirkuk, Quraish School, Kirkuk City, Iraq | ||
| 3College of Computer and Mathematics, Tikrit University, Iraq | ||
| تاریخ دریافت: 18 آذر 1400، تاریخ بازنگری: 30 دی 1400، تاریخ پذیرش: 22 بهمن 1400 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| supra $q$-regular؛ supra $q$-normal؛ supra irresolute map؛ supra contra continuity map | ||
| مراجع | ||
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[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 applicgations 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. | ||
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