A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation

Abstract

We prove the generalized Hyers–Ulam stability of a mean value type functional equation f ( x ) − g ( y ) = ( x − y ) h ( x + y ) by applying a method originated from fixed point theory.

Keywords

• Hyers–Ulam stability
• mean value type functional equation
• fixed point method
• fixed point