- Journal of New Results in Science
- Vol: 5 Issue: 10
- Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces
Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces
Authors : Pratap Mondal, Nabin Chandra Kayal, T K Samanta
Pages : 52-59
View : 10 | Download : 6
Publication Date : 2016-01-02
Article Type : Other
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 (2 x + y ) − f ( x + 2 y ) = 3 f ( x ) − 3 f ( y ) (1) in intuitionistic fuzzy Banach spaces.Keywords : Intuitionistic fuzzy norm, Hyers-Ulam stability, quadratic functional equation, Intuitionistic fuzzy Banach spaces