A FIXED POINT APPROACH TO THE STABILITY OF QUADRATIC (ρ1, ρ2)-FUNCTIONAL INEQUALITIES.

In this paper, we introduce and solve the following quadratic (ρi, ρ2)-functional inequalities ..., where ρ1 and ρ2 are fixed nonzero complex numbers with |ρ1|/2 + |p2| < 1, and ..., where ρ1 and ρ2 are fixed nonzero complex numbers with |ρ1|/2 + 2|p2| < 1. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (ρ1, ρ2)-functional inequalities (0.1) and (0.2) in complex Banach spaces. [ABSTRACT FROM AUTHOR]