ADDITIVE-QUADRATIC FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES AND ITS STABILITY.

In this paper, we investigate the functional inequality N(f(2x + y) + f(2x - y) - 6f(x) - 2f(-x) - f(y) - f(-y); t) ≥ N(f(x + y) + f(x - y) - 2f(x) - f(y) - f(-y); kt) for some fixed real number k and prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces. [ABSTRACT FROM AUTHOR]