Title of article :
Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces
Author/Authors :
Mondal, Pratap Bijoy Krishna Girls College - Department of Mathematics, India , Kayal, Nabin Chandra Moula Netaji Vidyalaya - Department of Mathematics, India , Samanta, T. K. Uluberia College - Department of Mathematics, India
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
Journal title :
Journal Of New Results In Science
Journal title :
Journal Of New Results In Science