Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces

Authors : Pratap MONDAL, Nabin Chandra KAYAL, T K SAMANTA

Pages : 52-59

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Publication Date : 2016-05-05

Article Type : Research Paper

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 insert ignore into journalissuearticles values(2 x + y ); − f insert ignore into journalissuearticles values( x + 2 y ); = 3 f insert ignore into journalissuearticles values( x ); − 3 f insert ignore into journalissuearticles values( y ); insert ignore into journalissuearticles values(1); in intuitionistic fuzzy Banach spaces.
Keywords : Intuitionistic fuzzy norm, Hyers Ulam stability, quadratic functional equation, Intuitionistic fuzzy Banach spaces