Characterization, stability and hyperstability of multi-quadratic–cubic mappings

Abstract

Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings. As a result, we investigate the hyperstability of multi-quadratic–cubic mappings in some senses.

Keywords

• Banach space
• Hyers–Ulam stability
• Multi-quadratic mapping
• Multi-cubic mapping
• Multi-quadratic–cubic mapping