FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

The fuzzy stability problems for the Cauchy quadratic functional equation and the Jensen quadratic functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. Th. M. Rassias introduced the following equality Xm i,j=1 kxi − xjk 2 = 2m Xm i=1 kxik 2 , Xm i=1 xi = 0, for a fixed integer m ≥ 3. By the above equality, we define the following functional equation insert ignore into journalissuearticles values(0.1); Xm i,j=1 finsert ignore into journalissuearticles values(xi − xj ); = 2m Xmi=1 finsert ignore into journalissuearticles values(xi);, Xm i=1 xi = 0. In this paper, we prove the generalized Hyers-Ulam stability of the functional equation insert ignore into journalissuearticles values(0.1); in fuzzy Banach spaces.