Document Type : Research Paper

Author

• H. Azadi Kenary

Department of Mathematics, Yasouj University, Yasouj 75914-353, Iran.

Abstract

In this paper we investigate the generalized Hyers-Ulam stability of the following Cauchy-Jensen type functional equation
$$Q(\frac{x+y}{2}+z)+Q(\frac{x+z}{2}+y)+Q(\frac{z+y}{2}+x) =2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces.

Keywords

• generalized Hyers-Ulam stability
• Non-Archimedean spaces
• Fixed point method