The aim of this paper is to give the set of all t-best approximations on fuzzy 2-normed linear spaces and prove some theorems in the sense of Vaezpour and Karimi [13]. AMS Subject Classification: 46A30, 46S40, 46A70, 54A40

In this article we define and investigate statistical analogue of convergence and Cauchy for double sequences in 2-normed space.We also obtain a criteria for a double sequence in 2-normed spaces to be a statistical Cauchy sequence. Mathematics Subject Classification: 40A05; 40A99, 46A70, 46A45

Recently in [22], Mursaleen introduced the concept of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of lacunary ∆-statistical convergence and lacunary ∆-statistical Cauchy sequences in random 2-normed spaces using lacunary density and prove some interesting theorems. Subjclass [2000] : Primary 40A05; Secondary 46A70, 40A99, 46A99.

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...

In this paper, we consider the problem of the farthest poinst for bounded sets in a real 2-normed spaces. We investigate some properties of farthest points in the setting of 2-normalised spaces and present various characterizations of b-farthest point of elements by bounded sets in terms of b-linear functional. We also provide some applications of farthest points in the setting of 2inner produc...

The aim of this paper is to study the generalization of the intuitionistic fuzzy normed spaces such as intuitionistic fuzzy 2-normed space. In this structure, we have discussed the intuitionistic fuzzy 2continuity and intuitionistic fuzzy 2-boundedness. Also, we have introduced the intuitionistic fuzzy ψ-2-normed space which is a generalization of intuitionistic fuzzy 2-normed space. We have di...

In this paper, we consider the problem of farthest poinst for bounded sets in a real 2-normed spaces. We investigate some properties of farthest points in the setting of 2-normalised spaces and present various characterizations of b-farthest point of elements by bounded sets in terms of b-linear functional. We also provide some applications of farthest points in the setting of 2inner product sp...

the aim of this paper is to give the set of all t -best approximations on fuzzy n-normed spaces and prove some theorems in the sense of vaezpour and karimi [13].

The aim of this paper is to give the set of all t -best approximations on fuzzy n-normed spaces and prove some theorems in the sense of Vaezpour and Karimi [13].