FS-convergent in norm (Fsc1n–Convergent) in a fuzzy normed Riesz spaces
*Shatha Abdul-Hussein KadhimCorresponding authorshatha.abdulhussein@uokerbala.edu.iqDepartment of MathematicsCollage of Education for Pure SciencesUniversity of KerbalaKerbala, 56001, Iraq0000-0002-6249-2819View full profile → , Shaimaa Abdul-Hussein Kadhimshaimaa.a@uokerbala.edu.iqDepartment of MathematicsCollage of Education for Pure SciencesUniversity of KerbalaKerbala, 56001, Iraq0000-0001-8440-9134View full profile → , Mohammed Yahya Abedmohammed.y@uokerbala.edu.iqDepartment of MathematicsCollage of Education for Pure SciencesUniversity of KerbalaKerbala, 56001, Iraq0000-0003-4345-1146View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Nov 2024
- Published Online:
- 17 Oct 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2194
- Pages:
- 2613–2621
Abstract
Keywords
Subject Classifications
References
[1] H. Fast, “Sur la convergence statistique,”. “Colloq. Math.” vol. 2, no. 3-4, pp. 241-244 (1951). [Online] Available: https://doi.org/10.4064/cm-2-3-4-241-244.
[2] H. Steinhaus, Sur la Convergence Ordinaire et la Convergence Asymptotique. “Colloq. Math.” Vol. 27, PP. 73-74, (1951).
[3] I.J. Schoenberg., The Integrability of Certain Functions and Related Summability Methods. Am. Math. Mon., Vol. 66, PP. 361-375, (1959). Topology and its Applications, vol. 159, no. 7, pp. 1887-1893 (2011), [Online] Available: https://doi.org/10.2307/2308747.
[4] I.J. Maddox, “Statistical convergence in a locally convex space,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 104, no. 1, pp. 141-145 (1988), [Online] Available: https://doi.org/10.1017/s0305004100065312.
[5] SA. Mohiuddine and E. Savaᶊ, Lacunary Statistically Convergent Double Sequences in Probabilistic Normed Spaces. Ann. Univ. Ferrara, Sez. 7. Sci. Math. Vol. 58, PP. 331-339, (2012).
[6] SA. Mohiuddine and E. Savaᶊ, λ-Statistically Convergent Double Sequences in Probabilistic Normed Space. Math. Slovaca. Vol. 62, PP. 99-108, (2012).
[7] M. Mursaleen and SA. Mohiuddine , “Statistical convergence of double sequences in intuitionistic fuzzy normed spaces,” Chaos Solitons & Fractals, vol. 41, no. 5, pp. 2414-2421 (2009), [Online] Available: https://doi.org/10.1016/j.chaos.2008.09.018.
[8] H. Albayrak and S. Pehlivan, “Statistical convergence and statistical continuity on locally solid Riesz spaces,” Topology and its Applications, vol. 159, no. 7, pp. 1887-1893 (2011), [Online] Available: https://doi.org/10.1016/j.topol.2011.04.026.
[9] D. Pratulananda and S. Ekrem, On Iλ-Statistical Convergence in Locally Solid Riesz Spaces. Math. Slovaca. Vol. 65, No. 6, 1491-1504, (2015).
[10] S.M. Kadham and M.A. Mustafa, “Medical applications of the new-transform,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1341-1353 (2023), https://doi.org/10.47974/jim-1632
[11] CD. Aliprantis, O. Burkinshaw, Locally Solid Riesz Spaces With Applications to Economics. 2nd edn. Am. Math. Soc. Providence, (2003).
[12] P. Venugo, Fuzzy ordered sets. Fuzzy sets and systems. Vol. 46, PP. 221-226, (1992).
[13] A.S. Maani, H.K. Alkhayyat and S.M. Kadham. “Enhance MRI images of lung cancer using hybrid transform,” J. Discrete Math. Sci. Cryptography, vol. 26, no. 7, pp. 1897-1902 (2023), https://doi.org/10.47974/jdmsc-1682.
[14] I. Beg and M.U. Islam, Fuzzy Riesz Spaces. “J. Fuzzy Math.”. Vol. 2, No. 1, 211-241, (1994).
[15] A.K. Shatha., “On Fuzzy Statistical (O)-Convergence in Fuzzy Riesz Spaces,” Al-Nahrain Journal of Science, vol. 23, no. 3, pp. 61-67 (2020), [Online] Available: https://doi.org/10.22401/anjs.23.3.08.
[16] A.K. Shatha. F-order Convergence of Double Sequences in Fuzzy Riesz Spaces. J Univ Babylon Pure Appl Sci, Vol.28, No. 2, 110-128, (2020).
[17] M.R. Farahani, S. Jafari, S.A.Mohiuddine and M. Cancan., “Intuitionistic Fuzzy Stability of Generalized Additive Set-Valued Functional Equation via Fixed Point Method,” Mathematical Statistician and Engineering Applications, vol. 71 no. 3s3, pp. 142-154 (2022), [Online] Available: https://doi.org/10.17762/msea.v71i3s3.355.
[18] R.F. Kadam and K.M.M. Al-Abrahemee. Neuro-fuzzy system for solving fuzzy singular perturbation problems.” J. Interdiscip. Math., vol. 25, no. 5, pp. 1509-1524 (2022). [Online] Available: https://doi.org/10.1080/09720502.2022.2079229
[19] D.E. Abdulrasool and A.N. Alkiffai. Population growth equation by fuzzy common integral transforms. ” J. Interdiscip. Math., vol. 25, no. 6, pp. 1909-1918 (2022). [Online] Available: https://doi.org/10.1080/09720502.2022.2095960.
[20] R. Dhavaseelan, S. Jafari, M.R. Farahani and S. Broumi, “On single-valued co-neutrosophic graphs,” Neutrosophic Sets and Systems, Vol. 22, pp. 180-187 (2018). [Online] Available: https://doi.org/10.5281/zenodo.2159886.
[21] S. Jafari, M.R. Farahani and M. Rajesh, “Double fuzzy rarely continuous functions,” Ann. Fuzzy Math. Inform., vol. 26, no. 1, pp. 35-45 (2023).
[22] M.R. Farahani, J. E. Nápoles, M. Cancan, S. Jafari and C. Park, “Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms” J. Interdiscip. Math., vol. 26, no. 6, pp. 1355-1365 (2023). [Online] Available: https://doi.org/10.47974/jim-1633.




