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On $B^{ic}$-open set and $B^{ic}$-continuous function in topological spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 59، دوره 13، شماره 1، خرداد 2022، صفحه 737-744 اصل مقاله (407.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5576 | ||
| نویسندگان | ||
| Luma S. Abdalbaqi* ؛ Zeina T. Abdalqater؛ Hiba O Mousa | ||
| Department of Mathematics, College of Education for Women, University of Tikrit, Tikrit, Iraq | ||
| تاریخ دریافت: 10 مرداد 1400، تاریخ بازنگری: 10 تیر 1400، تاریخ پذیرش: 05 مهر 1400 | ||
| چکیده | ||
| In this paper, we have introduced a new class of sets in topological space called $B^{ic}$-open set and we have introduced and study the properties of $B^{ic}$-continuous function and topological properties. | ||
| کلیدواژهها | ||
| $beta$-open set؛ $B^{ic}$-open set؛ $B^{ic}$-continuous function؛ $beta$- irresolute function؛ $B^{ic}$-irresolute function | ||
| مراجع | ||
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[1] B.S. Abdullah and A.A. Mohammed, On standard concept using ii-open sets, Open Access J. 6 (2019). [2] M.E. Abd El-Monsef, S.N. El-Deeb and R.A. Mahmoud, β-open sets and β-continuous mappings Bull. Fac. Sci. Assiut. Univ. 12 (1983) 77–90. [3] D. Andrijevic, Semi-preopen sets, Mat. Vesnik 38 (1986) 24–32. [4] S.W. Askander, The Property of Extended and Non-Exteneded Topological for Semi-Open, α-Open and i-Open Sets with Application, M.Sc. Thesis, College of Education, University of Mosul, 2011. [5] S.W. Askander and A.A. Mohammed, i-open sets in topological spaces, Al-Rafidain J. Comput. Sci. Math. 12 (2018) 13–23. [6] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Month. 70 (1963) 36–41. [7] A.S. Mashhour, M.E. Abd El-Monsef and S.N. El-Deeb, On pre-continuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt. 53 (1982) 47–53. [8] L.K. Matindih and E. Moyo, On M-assiymetric semi-open and M-asymmetric semicontinuous multifunctions in bitopological spaces, Adv. Pure Math. 11 (2021) 218–236. [9] L. Matindih, E. Moyo, D. Manyika and T. Sinyangwe, Some results of upper and lower M-asymmetric irresolute multifunctions in bitopological spaces, Adv. Pure Math. 11 (2021) 611–627. [10] A. Metin and O. Alkan, On soft β-open sets and soft β-continuous functions, Sci. World J. 2014 (2014) Article ID 843456. [11] A.K. Mousa and A. Ghareeb, On soft β-open sets and soft β-continuous functions, Abst. Appl. Anal. 2015, Article ID 515939. [12] A.A. Mohammed and B.S. Abdullah, II-open sets in topological spaces, Int. Math. Forum 14 (2019) 41–48. [13] A.A. Mohammed and S.W. Askandar, On i-open sets, UAE Math. Day Conf. American Univ. Sharjah, April 14, 2012. [14] O. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1995) 961–970. [15] E. Ryszard, General Topology, Second Edition, Sigma Series in Pure Mathematics, Heldermann Verlag, Berlin, 1989. | ||
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