Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces

Year 2016, Volume: 5 Issue: 10, 52 - 59, 05.05.2016

Pratap Mondal Nabin Chandra Kayal T K Samanta

https://izlik.org/JA94MX83TT

Abstract

Hyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in case of approximation of a given functional equation in Banach spaces, fuzzy Banach spaces etc. In this paper, we wish to study generalized Hyers-Ulam-Rassias stability regarding the approximation
of the following quadratic functional equation
f(2x + y) − f(x + 2y) = 3f(x) − 3f(y) (1)
in intuitionistic fuzzy Banach spaces.

Keywords

Intuitionistic fuzzy norm , Hyers-Ulam stability , quadratic functional equation , Intuitionistic fuzzy Banach spaces

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