On a fuzzy statistically convergent in 2-norm (Fsc2n- Convergent) in a fuzzy 2-normed Riesz spaces and some properties
*Shaimaa Abdul-Hussein KadhimCorresponding authorshaimaa.a@uokerbala.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of KerbalaKarbala, 56001, Iraq0000-0001-8440-9134View full profile → , Shatha Abdul-Hussein Kadhimshatha.abdulhussein@uokerbala.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of KerbalaKarbala, 56001, Iraq0000-0002-6249-2819View full profile → , Mohammed Yahya Abedmohammed.y@uokerbala.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of KerbalaKarbala, 56001, Iraq0000-0003-4345-1146View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Nov 2025
- Published Online:
- 27 Jun 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2531
- Pages:
- 1407–1415
Abstract
Keywords
Subject Classifications
References
[1] H. Fast, “On statistical convergence,” Colloquium Mathematicae, vol. 2, no. 3–4, pp. 241–244 (1951).
[2] I. J. Schoenberg, “The integrability of certain functions and related summability methods,” The American mathematical monthly, vol. 66, no. 5, pp. 361–775 (1959).
[3] K. H. Khalaf, A. M. Salih, O. A. Abdullah, S. H. Asaad, and I. S. Ahmed, “Study of some properties for pre measure,” AIP Conf. Proc., vol. 2834, no. 1 (2023), doi: 10.1063/5.0162036.
[4] S. Gähler, “2-metric spaces and their topological structure,” Mathematische Nachrichten, vol. 28, pp. 115–148 (1963).
[5] S. A. H. Kadhum and S. A. H. Kadhum, “Order-Convergence for Filters in a Dedekind Complete Riesz Spaces (K-Spaces),” Journal of physics: conference series, vol. 1294, no. 3 (Sep. 2019).
[6] I. S. Ahmed, H. H. Ebrahim, and A. Al-Fayadh, “γ–algebra of Sets and Some of its Properties,” Iraqi Journal of Science, vol. 63, no. 11, pp. 4918–4927 (2022), doi: 10.24996/ijs.2022.63.11.28.
[7] S. Gähler, “Linear 2-normed spaces,” Mathematische Nachrichten, vol. 28, no. 1–2, pp. 1–43 (1964), doi: 10.1002/mana.19640280102.
[8] Z. H. Abdulqader, R. B. Esmaeel, and N. E. Arif, “L-open set and some related concepts,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 5, pp. 1715–1721 (2024).
[9] S. N. Al-Khafaji, A. Al-Fayadh, A. H. Hussain, and S. A. Abbas, “Toeplitz Determinant whose Its Entries are the Coefficients for Class of Non-Bazilević Functions,” Journal of Physics: Conference Series, vol. 1660, no. 1 (Nov. 2020).
[10] M. Y. Abed, “On semi and quasi γρρ-orthogonality in real normed space,” Journal of Interdisciplinary Mathematics, vol. 25, no. 8, pp. 2585–2590 (2022).
[11] N. E. Z. T. Abdulqader, R. B. Arif, and J. X. Esmaeel, “L – open and some of their generalizations,” Journal of Interdisciplinary Mathematics, vol. 28, no. 3, pp. 1125–1130 (2025).
[12] A. R. S. Juma, A. Al-Fayadh, S. P. Vijayalakshmi, and T. V. Sudharsan, “Upper bound on the third hankel determinant for the class of univalent functions using an integral operator,” Afrika Matematika, vol. 33, no. 2, p. 56 (2022).
[13] H. Gunawan and Mashadi, “On finite dimensional 2-normed spaces,” Soochow J. Math., vol. 27, no. 3, pp. 631–639 (2001).
[14] I. Beg and M. U. Islam, “Fuzzy Riesz spaces,” Journal of Fuzzy Mathematics, vol. 2, no. 1, pp. 211–241 ( 1994).
[15] A. K. Shatha, “Fuzzy order convergence of double sequences in fuzzy Riesz spaces,” Journal of University of Babylon for Pure and Applied Sciences, vol. 28, no. 2, pp. 99–128 (2020).
[16] S. A. H. Kadhim and S. A. H. Kadhim, “On Order-Convergence of Filters in a Riesz Spaces,” Kirkuk University Journal for Scientific Studies, vol. 15, no. 2 (2020).
[17] W. Raymond, Y. Freese, and J. Cho, Geometry of linear 2-normed spaces. Huntington, USA: Nova Science Publishers (2001).




