Cesàro Statistical Convergence on Neutrosophic Normed Spaces

Year 2022, Volume: 14 Issue: 2, 256 - 261, 30.12.2022

Zarife Zararsız

https://doi.org/10.47000/tjmcs.1079323

Abstract

Cesàro statistical convergence in neutrosophic normed spaces is investigated in this research. Additionally, in this study, we concentrate at several features of Cesàro statistical convergence in NNS such as concepts of Cesàro statistically Cauchy, Cesàro statistically convergent neutrosophic normed Cauchy.

Keywords

Statistical convergence, Cesàro statistically convergent, Cesàro statistically Cauchy, Neutrosophic normed space

References

• Atanassov, K., lntuitionistic Fuzzy Sets, in: V. Sgurev, Ed., VII ITKR’s Session, Sofia, June, Central Sci. and Techn. Library, Bulg. Academy of Sciences, 1983.
• Atanassov, K., Stoeva, S., Intuitionistic fuzzy sets, Polish Symp. on Interval and Fuzzy Mathematics, Poznan, (1983), 23–26.
• Chang, C., Fuzzy topological spaces, Journal of Mathematical Analysis and Applications, 24(1968), 182–190.
• Fast, H., Sur la convergence statistique, Colloq. Math., 2(1951), 241–244.
• Kaleva, O., Seikkala, S., On fuzzy metric spaces, Fuzzy Sets and Systems, 12(1984), 215–229.
• Khan, V.A., Khan, M.D., Mobeen, A., Some results of neutrosophic normed spaces via fibonacci matrix, U.P.B. Sci. Bull., Series A, 83(2021).
• Kirişçi, M., Şimşek, N., Neutrosophic normed spaces and statistical convergence, J Anal., 28(2020), 1059–1073.
• Kirişçi, M., Şimşek, N., Neutrosophic metric spaces, Math Sci, 14(2020), 241–248.
• Menger, K., Statistical metrics, Proceedings of the National Academy of Sciences of the United States of America, 28(1942), 535.
• Park, J.H., Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals, 22(2004), 1039–1046.
• Smarandache, F., Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Inter. J. Pure Appl. Math., 24(2005), 287–297.
• Zadeh, L.A., Fuzzy sets Inf. Control, 8(1965), 338–353.