- Statistical Convergence in Intuitionistic Fuzzy 2- Normed Space λ Mahpeyker Öztürk Department of Mathematics, Sakarya University, Sakarya, Turkey mahpeykero@sakarya.edu.tr The notion of statistical convergence was introduced by Fast[1] and Schoenberg[2] Abstract: independently. A lot of developments have been made in this area after the works of Salát[3], and Fridy[4]. In [5] Mohiuddine and Lohani introduced the concept of statistical convergence λ- with respect to the intuitionistic fuzzy normed space. In this paper, we shall study statistical λ- convergence and statistical Cauchy on the intuitionistic fuzzy 2-normed space . We also λ- introduce the concept of statistical completeness which would provide a more general framework to study the completeness of the intuitionistic fuzzy 2-normed space Keywords: Statistical Convergence, statistical convergence, Cintuitionistic fuzzy 2-normed λ- space. References: la convergence [1] H. Fast, “Sur statistique”, Colloq. Math. 2(1951), 241-244. Math. Monthly, 66(1959), 361-375. [2] I. J. Schoenberg, “The integrability methods”, Amer. of [3] T. Salat, “On statistically convergent sequences real numbers”, Math Slovaca, 30.2(1980), 139-150. [4] J. A. Fridy, statistical “On convergence”, Analysis, 5(1985), 301-313. [5] S.A. Mohiuddine and Q.M. Karadeniz Technical University Convention Center, Trabzon Danish Lohani, generalized statistical convergence in intuitionistic fuzzy normed “On space”, Chaos, Solitons & Fractals, 42.3(2009), 1731-1737.
λ - Statistical Convergence in Intuitionistic Fuzzy 2- Normed Space Mahpeyker Öztürk Department of Mathematics, Sakarya University, Sakarya, Turkey mahpeykero@sakarya.edu.tr Abstract: The notion of statistical convergence was introduced by Fast[1] and Schoenberg[2] independently. A lot of developments have been made in this area after the works of Salát[3], and Fridy[4]. In [5] Mohiuddine and Lohani introduced the concept of λ- statistical convergence with respect to the intuitionistic fuzzy normed space. In this paper, we shall study λ- statistical convergence and λ- statistical Cauchy on the intuitionistic fuzzy 2-normed space . We also introduce the concept of statistical completeness which would provide a more general framework to study the completeness of the intuitionistic fuzzy 2-normed space Keywords: Statistical Convergence, λ- statistical convergence, Cintuitionistic fuzzy 2-normed space. References: [1] H. Fast, “Sur la convergence statistique”, Colloq. Math. 2(1951), 241-244. [2] I. J. Schoenberg, “The integrability methods”, Amer. Math. Monthly, 66(1959), 361-375. [3] T. Salat, “On statistically convergent sequences of real numbers”, Math Slovaca, 30.2(1980), 139-150. [4] J. A. Fridy, “On statistical convergence”, Analysis, 5(1985), 301-313. Karadeniz Technical University Convention Center, Trabzon [5] S.A. Mohiuddine and Q.M. Danish Lohani, “On generalized statistical convergence in intuitionistic fuzzy normed space”, Chaos, Solitons & Fractals, 42.3(2009), 1731-1737.
abstract_name_srname.docx