On Some Properties of I2-Convergence and I2-Cauchy of Double Sequences
نویسندگان
چکیده
In this paper we study the concepts of I-Cauchy and I∗-Cauchy for double sequences in a linear metric space. Also, we give the relation between I-convergence and I∗-convergence of double sequences of functions defined between linear metric spaces.
منابع مشابه
On Ideal Convergence of Double Sequences in the Topology Induced by a Fuzzy 2-norm
In this paper we introduce and investigate I2-convergence, I∗ 2 -convergence, I2-limit points, and I2-cluster points of a double sequence in a fuzzy 2-normed linear space. We prove a decomposition theorem for I2-convergence of double sequences. The notions of I2-double Cauchy and I∗ 2 -double Cauchy sequence are defined, and some of their properties are studied.
متن کاملI2-Cauchy Double Sequences of Fuzzy Numbers
In this paper, we introduce the concepts of I2-Cauchy, I∗ 2 -Cauchy double sequence of fuzzy numbers and study their some properties and relations, where I2 denotes the ideal of subsets of N× N.
متن کاملI2-convergence of Double Sequences of Fuzzy Numbers
In this paper, we introduce and study the concepts of I2-convergence, I∗ 2 -convergence for double sequences of fuzzy real numbers, where I2 denotes the ideal of subsets of N× N. Also, we study some properties and relations of them.
متن کاملOn I-Convergence of Double Sequences in 2-Normed Spaces
The concept of I-convergence was introduced by Kostyrko et al (2001).It seems therefore reasonable to investigate the concept of I -convergence for the double sequences in 2-normed spaces.In this article we define and investigate ideal analogue of convergence for double sequences in 2-normed space and so we extend this concepts to I2-limit points and I2-cluster points in this spaces.We prove so...
متن کاملOn Ideal Version of Lacunary Statistical Convergence of Double Sequences
For any double lacunary sequence θrs = {(kr, ls)} and an admissible ideal I2 ⊆ P(N×N), the aim of present work is to define the concepts of Nθrs(I2)− and Sθrs(I2)−convergence for double sequence of numbers. We also present some inclusion relations between these notions and prove that Sθrs(I2)∩`∞ and S2(I2)∩ `∞ are closed subsets of `∞, the space of all bounded double sequences of numbers.
متن کامل