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Department of Mathematics, Research Institute for Natural Sciences, University of Hanyang, P.O. Box 133-791, Seoul, Korea
Abstract
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.
