Some New Type of Lacunary Statistically Convergent Sequences In Neutrosophic Normed Space

被引:0
作者
Khan V.A. [1 ]
Khan M.D. [1 ]
Ahmad M. [1 ]
机构
[1] Department of Mathematics, Aligarh Muslim University, Aligarh
关键词
Lacunary statis-tical Cauchy and Lacunary statistical completeness; Lacunary statistical convergence; NNS; Statistical convergence; t-conorm; t-norm;
D O I
10.5281/zenodo.4711538
中图分类号
学科分类号
摘要
The idea of statistical convergence was introduced by Fast [H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951) 241–244] afterwards studied by many authors. In [J.A. Fridy, C. Orhan, Lacunary statistical convergence, Pacific J. Math. 160 (1993) 43–51],Fridy and Orhan proposed the concept of lacunary statistical convergence. In present paper, we introduce lacunary statistically convergent in neutrosophic normed space (bri y, NNS). We define the concept of lacunary statistical Cauchy sequence in NNS and derive the rela- tion between statistical completness and completeness in NNS. We give some basic properties of these concepts. © 2021. All Rights Reserved.
引用
收藏
页码:239 / 252
页数:13
相关论文
共 23 条
[1]  
George A., Veeramani P., On some results of analysis for fuzzy metric spaces, Fuzzy Sets and Systems, 90, pp. 365-368, (1997)
[2]  
Park J.H., Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals, 22, pp. 1039-1046, (2004)
[3]  
Saadati R., Park J.H., On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27, pp. 331-344, (2006)
[4]  
Fridy J.A., Orhan C., Lacunary statistical convergence, Pacific J. Math, 160, pp. 43-51, (1993)
[5]  
Atanassov K., Intuitionistic fuzzy sets, fuzzy sets, Syst, 20, pp. 87-96, (1986)
[6]  
Zadeh L. A., Fuzzy sets, Inform Control, 8, pp. 338-353, (1965)
[7]  
Kirisci M., Simsek N., Neutrosophic normed spaces and statistical convergence, The Journal of Analysis, pp. 1-15, (2020)
[8]  
Smarandache F., A unifying field in logics, Neutrosophic Probability, Set and Logic, (1999)
[9]  
Atanassov K., Intuitionistic fuzzy sets, fuzzy sets, Syst, 20, pp. 87-96, (1986)
[10]  
Smarandache F., Neutrosophic set-a generalization of the intuitionistic fuzzy set, International journal of pure and applied mathematics, 24, 3, (2005)