Non-Archimedean stability of Cauchy-Jensen Type functional equation

Author

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