Random approximation of a general symmetric equation

Document Type : Research Paper


1 Department of‎ ‎Mathematics‎, ‎University‎ ‎of Yasouj‎, ‎P.O‎. ‎Box 75914-74831‎, ‎Yasouj‎, ‎Iran

2 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.


Main Subjects