A FIXED POINT ALTERNATIVE TO THE STABILITY OF AN ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN FUZZY BANACH SPACES.

In this paper, we solve the following additive ρ-functional inequalities N ( f(x + y) - f(x) - f(y) - ρ ( 2f ( x + y 2) - f(x) - f(y), t) ≥ t t + φ(x, y) (0.1) and N ( 2f ( x + y 2) - f(x) - f(y) -ρ(f(x + y) - f(x) - f(y)), t) ≥ t t + φ(x, y) (0.2) in fuzzy normed spaces, where ρ is a xed real number with ρ ≠ 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive ρ-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces. [ABSTRACT FROM AUTHOR]