3-VARIABLE ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES.

In this paper, we introduce and investigate the following additiveρ-functional inequalities N(f(x + y + z) - f(x) - f(y) - f(z), t) ⩾ N (ρ(2f(x+y/2+z)-f(x)-f(y)-2f(z)),t) N(2f(x+y/2+z)-f(x)-f(y)-2f(z)),t) ⩾ N (ρ(2f(x+y+z/2)-f(x)-f(y)-f(z)),t), N(f(x+y+z)-f(x)-f(y)-f(z)),t)in fuzzy normed spaces. Furthermore, we prove the Hyers-Ulam stability of the above additive ρ-functional inequalities in fuzzy Banach spaces. [ABSTRACT FROM AUTHOR]