#### Title

Additive (ρ1, ρ2)-functional inequalities in complex Banach spaces

#### Abstract

In this paper, we introduce and solve the following additive (ρ1, ρ2)-functional in-equalities [Formula presented] where ρ1 and ρ2 are fixed complex numbers with |ρ1| ·|ρ2| ˃ 1, and [formula presented] where ρ1 and ρ2 are fixed complex numbers with |ρ1| ˃ 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (ρ1, ρ2)-functional inequalities (0.1) and (0.2) in complex Banach spaces.

#### Publication Title

Journal of Computational Analysis and Applications

#### Recommended Citation

Park, C., Shin, D., & Anastassiou, G.
(2019). Additive (ρ1, ρ2)-functional inequalities in complex Banach spaces.* Journal of Computational Analysis and Applications**, 27* (2), 367-379.
Retrieved from https://digitalcommons.memphis.edu/facpubs/4120