The aim of this paper is to establish some stability results concerning the Cauchy functional equation f (x+y) = f (x)+ f (y) in the framework of intuitionistic fuzzy normed spaces.

In this paper, we determine some stability results concerning the 2-dimensional vector variable quadratic functional equation f(x+ y, z + w) + f(x − y, z − w) = 2f(x, z) + 2f(y, w) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the 2-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately 2-d...

In this paper, we introduce difference double sequence spaces ${I_{2} }^{(\mu,\upsilon)}(M,\Delta)$ and ${I_{2}^{0}}^{(\mu,\upsilon)}(M,\Delta)$ in the intuitionistic fuzzy normed linear spaces. We also investigate some topological properties of these

Abstract The article focuses on the introduction of neutrosophic continuity and boundedness, which is a fair extension intuitionistic fuzzy respectively. further advances to illustrate Fréchet derivative nonlinear operators between normed spaces (NNS). Examples have been provided in compliance with theory aid some standard sequence spaces.

Following the definition of coupled fixed point [T. G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006) 1379–1393], we prove a coupled fixed point theorem for contractive mappings in partially complete intuitionistic fuzzy normed spaces. © 2011 Elsevier Ltd. All rights reserved.

This paper proposes rough convergence and statistical of a double sequence in intuitionistic fuzzy normed spaces. It then defines the limit points cluster these Afterwards, this examines some their basic properties. Finally, it discusses need for further research.