Stability Of Generalized Additive Functional Equation In Intuitionistic Fuzzy Normed Spaces

Abstract

In this paper, authors examine the generalized Ulam - Hyers stability of the following Generalized Additive Functional Equation

(? + ? + ?)h(?x + ?y + ?z) + ?h(?? (x ?y))+ ?h(?? (y ?z)) + ?h(?? (z ?x))

= (? + ? + ?)(?h(x) + ?h(y) + ?h(z)) where ?,?,? ?R with ?,?,? 6= 0 and ?+? +? 6= 0 in Intuitionistic Fuzzy Banach Spaces using direct and fixed point techniques