Stability of a Generalized Quadratic Functional Equation in Intuitionistic Fuzzy 2-normed Space

作者：Movahednia Ehsan^*; Mursaleen Mohammad^*

来源：Filomat, 2016, 30(2): 449-457.

DOI：10.2298/FIL1602449M

• Intuitionistic fuzzy 2-normed space
• Hyers-Ulam-Rassias stability

In this paper, we recall the notion of intuitionistic fuzzy 2-normed space introduced by Mursaleen and Lohani [26] and using the direct method, we investigate the Hyers Ulam-Rassias stability of the following quadratic functional equation
f(ax + by) + f (ax - by) - a/2 f (x + y) = a/2 f (x - y) (2a(2) - a) f (x) (2b(2) - a) f (y)
in this space.

• 出版日期2016