Hyers-Ulam stability; general symmetric equation; random normed space
Issue Date
2015-10
Publisher
IRANIAN MATHEMATICAL SOC
Citation
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, v. 41, NO 5, Page. 1147-1159
Abstract
In this paper, we prove the Hyers-Ulam stability of the symmetric functional equation f (phi(1)(x, y)) = phi(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.