Convergence in soft topological spaces

Hussein, Hanan Ali; Hamzah, Sattar Hameed; Abdullah, Habeeb Kareem

doi:10.47974/JIM-1617

Open Access Research Article

Convergence in soft topological spaces

^*Hanan Ali HusseinCorresponding authorhanana.hussein@uokufa.edu.iqDepartment of Mathematics College of Education for Girls University of KufaDepartment of Mathematics Faculty of Education for Women University of Kufa Kufa, Najaf, Iraqhttps://orcid.org/0000-0003-0003-190XView full profile → , Sattar Hameed Hamzahsattar.hamzah@qu.edu.iqDepartment of Mathematics Al-Qadisiyah UniversityDepartment of Mathematics College of Education University of Al-QadisyahAl-Qaida, Iraqhttps://orcid.org/0000-0003-1760-5092View full profile → , Habeeb Kareem Abdullahhabeebk.abdullah@uokufa.edu.iqDepartment of Mathematics Kufa UniversityKufa, Iraqhttps://orcid.org/ 0000-0002-6057-8715View full profile →

* Corresponding author · click or hover a name for details

pp. 1193–1206Vol. 26Issue 6September 2023DOI: 10.47974/JIM-1617XML

Published Online:: 13 Sep 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1617
Pages:: 1193–1206

Abstract

The main purpose of this work is to introduce soft convergence in soft topological space. We introduced two types of soft convergence in soft topological space namely, soft convergence (S-convergence) of soft net and soft convergence of soft filter. Also, we investigate some properties of these concepts.

Keywords

Soft set Soft continuous function Soft proper function Soft net Soft filter

Subject Classifications

(2010) 54A0554C08

Acknowledgements

FRH-P919H74

References

[1] R.G. Bartle, Nets and filters in topology, The American Mathematical Monthly, 62(8), 551-557 (1955). https://doi.org/10.1080/00029890.1955.11988688.
[2] S. A. Jubair, On soft function in soft topological spaces, Msc. Thesis, College of Computer of Sciences and Mathematics, University of A-Qadisiya, (2016).
[3] E. H. Moore & H. L. Smith, A general theory of limits, Amer. J. Math, 44(2), 102-121 (1922). https://www.jstor.org/stable/2370388.
[4] R. Şahin & A. Kucuk , Soft fiters and their convergence properties, Annals of Fuzzy Mathematics and Informatics, 6(3), 529-543 (2013). Corpus ID: 204735654.
[5] W.A. Sabih & A.M. Amir, Soft ii-open sets in soft topological spaces, Open Access Library Journal, 7, e6308, 1-18 (2020). DOI: 10.4236/oalib.1106308.
[6] S. Rathee, R. Girdhar & K. Dhingra, On Soft ω-interior and soft ω-closure in soft topological space, Journal of Interdisciplinary Mathematics, 23(6), 1223-1239 (2020). https://doi.org/10.1080/09720502.2020.1815399.
[7] B. P. Varol & H. Aygun, On soft Hausdorff spaces, Annals of Fuzzy Mathematics and Information, 5(1), 15-24 (2013). http://www.afmi.or.kr.
[8] T.M. Al-Shami, B.A.Asaad & E.A.Abo-Tabl, Separation axioms and fixed points using total belong and total non-belong relations with respect to soft β-open sets, Journal of Interdisciplinary Mathematics, 24(4), 1053-1077 (2020). https://doi.org/10.1080/09720502.2021.1887608.
[9] M. A. Hasan, N. M.A. Abbas & S. M. Kalil, On soft α* - open sets and soft contra α* - continuous maings in soft topological spaces, Journal of Interdisciplinary Mathematics, 24(3), 729-734 (2021). https://doi.org/10.1080/09720502.2020.1861786.
[10] R. N. Majeed, Generalized closed fuzzy soft sets in Čech fuzzy soft closure spaces, Journal of Interdisciplinary Mathematics, 22(8), 1433-1441 (2020). https://doi.org/10.1080/09720502.2020.1861786.
[11] S. Ediz, İ. Çiftçi, M.Cancan, M.R.Farahani, On k-total distance degrees and k-total Wiener polarity index. Journal of Information and Optimization Sciences. 42(7), 1469-1477 (2021). https://doi.org/10.1080/02522667.2021.1896652.
[12] F. Afzal, Shah Rukh, D. Afzal, M.R.Farahani, M.Cancan, S. Ediz. A study of non-commutative Von-Neumann regular rings. Journal of Information and Optimization Sciences. 42(7), 1425-1436 (2021). https://doi.org/10.1080/02522667.2021.1896650.
[13] M.S. Sardar,M. Alaeiyan,M.R.Farahani,M.Cancan,S. Ediz. Resistance distance in some classes of rooted product graphs obtained by Laplacian generalized inverse method. Journal of Information and Optimization Sciences 42(7), 1447-1467 (2021). https://doi.org/10.1080/02522667.2021.1899210.
[14] M. Nadeem, S. Ahmad, M.K. Siddiqui, M.A. Ali, M.R.Farahani, A.J.M. Khalaf. On some applications related with algebraic structures through different well known graphs. Journal of Discrete Mathematical Sciences and Cryptography. 24(2), 451-471 (2021). https://doi.org/10.1080/09720529.2021.1885806.
[15] I. Rosyida, T.S.N. Asih, S.B. Waluya Sugiyanto. Fuzzy shortest path approach for determining public bus route (Case study : Route planning for Trans Bantul bus in Yogyakarta, Indonesia). Journal of Discrete Mathematical Sciences and Cryptography. 24(2), 557-577 (2021). https://doi.org/10.1080/09720529.2021.1891692.
[16] M.R. Farahani, S. Jafari, S.A.Mohiuddine, M. Cancan.Intuitionistic Fuzzy Stability of Generalized Additive Set-Valued Functional Equation via Fixed Point Method. Mathematical Statistician and Engineering Applications, 71(3s3), 142-154. (2022). https://www.philstat.org.ph/index.php/MSEA/article/view/355.
[17] R.F. Kadam, K.M. Mohammed Al-Abrahemee. Neuro-fuzzy system for solving fuzzy singular perturbation problems. Journal of Interdisciplinary Mathematics. 25(5), 1509-1524 (2022). https://doi.org/10.1080/09720502.2022.2079229.
[18] D.E. Abdulrasool, A.N. Alkiffai. Population growth equation by fuzzy common integral transforms. Journal of Interdisciplinary Mathematics. 25(6), 1909-1918 (2022). https://doi.org/10.1080/09720502.2022.2095960.
[19] A. Alsinai, H.M.U. Rehman, Y. Manzoor, M. Cancan, Z. Taş, M.R. Farahani, Sharp upper bounds on forgotten and SK indices of cactus graph, Journal of Discrete Mathematical Sciences and Cryptography. 1-22 (2022). https://doi.org/10.1080/09720529.2022.2027605.

Views: 202Downloads: 6Citations: 0