Document Type : Research Paper
Department of Mathematics, University of Yasouj, P.O. Box 75914-74831, Yasouj, Iran
Department of Mathematics, Research Institute for Natural Sciences, University of Hanyang, P.O. Box 133-791, Seoul, Korea
In this paper, we prove the Hyers-Ulam stability of the symmetric functional
equation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, we
obtain some random stability results in the sense of Hyers-Ulam-Rassias.