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
$$QBig(frac{x+y}{2}+zBig)+QBig(frac{x+z}{2}+yBig)+QBig(frac{z+y}{2}+xBig)
=2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces

Keywords