Approximately cubic functional equations and cubic multipliers

Abstract

Abstract In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions. 2000 Mathematics Subject Classification: 39B82; 39B52.

Keywords

• cubic functional equation
• multiplier
• Hyers-Ulam stability
• Superstability