On (λ,µ)-statistical convergence of double sequences on intuitionistic fuzzy normed spaces
نویسندگان
چکیده
منابع مشابه
On (λ, Μ)-statistical Convergence of Double Sequences on Intuitionistic Fuzzy Normed Spaces
In this paper, we define (λ, μ)statistical convergence and (λ, μ)-statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where λ = (λn) and μ = (μm) be two non-decreasing sequences of positive real numbers such that each tending to ∞ and λn+1 ≤ λn +1, λ1 = 1; μm+1 ≤ μm + 1, μ1 = 1. We display example that shows our method of convergence is more general for do...
متن کاملStatistical Convergence of Double Sequences on Probabilistic Normed Spaces
The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces. In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilis...
متن کاملOn Generalized Double Statistical Convergence of Order in Intuitionistic Fuzzy Normed Spaces
Our goal in this work is to introduce the notion [V, λ] (I)2-summability and ideal λ-double statistical convergence of order α with respect to the intuitionistic fuzzy norm (μ, v). We also make some observations about these spaces and prove some inclusion relations.
متن کاملOn Lacunary Statistical Convergence of Double Sequences with Respect to the Intuitionistic Fuzzy Normed Space
In this paper, we study lacunary statistical convergence in intuition-istic fuzzy normed space. We also introduce here a new concept, that is, statistical completeness and show that IFNS is statistically complete but not complete.
متن کاملLacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces
In this article we introduce the notion of lacunary statistically convergent and lacunary statistically Cauchy sequences in intuitionistic fuzzy n-normed linear spaces and give their characterization. We show that some properties of lacunary statistical convergence of real sequences also hold for sequences in this space. Further, necessary and sufficient conditions for equality of the set of st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2011
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1102109k