Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 2 2 2011 12 01 Non-Archimedean stability of Cauchy-Jensen Type functional equation 92 102 104 10.22075/ijnaa.2011.104 EN H. Azadi Kenary Department of Mathematics, Yasouj University, Yasouj 75914-353, Iran. Journal Article 2011 01 15 In this paper we investigate the generalized Hyers-Ulam stability of the following Cauchy-Jensen type functional equation<br />$$Q(\frac{x+y}{2}+z)+Q(\frac{x+z}{2}+y)+Q(\frac{z+y}{2}+x) =2[Q(x)+Q(y)+Q(z)]$$ in non-Archimedean spaces. generalized Hyers-Ulam stability Non-Archimedean spaces Fixed point method https://ijnaa.semnan.ac.ir/article_104_2ed6c80666d79b4fbb85860b2e472e3b.pdf