2
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.
Rezaei, H. & Park, C. (2015). Random approximation of a general symmetric equation. Bulletin of the Iranian Mathematical Society, 41(5), 1147–1159.
MLA
Rezaei, H., & Park, C. "Random approximation of a general symmetric equation", Bulletin of the Iranian Mathematical Society, 41, 5, 2015, 1147–1159.
HARVARD
Rezaei, H., & Park, C. (2015). 'Random approximation of a general symmetric equation', Bulletin of the Iranian Mathematical Society, 41(5), pp. 1147–1159.
CHICAGO
Rezaei, H. & Park, C., "Random approximation of a general symmetric equation." Bulletin of the Iranian Mathematical Society, 41 5 (2015): 1147–1159,
VANCOUVER
Rezaei H., Park C. Random approximation of a general symmetric equation. BIMS. 2015;41(5):1147–1159.
