Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 162371, 11 pages
doi:10.1155/2010/162371
Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces
M.Eshaghi Gordji1
, M.B. Ghaemi2
and H. Majani2
1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Abstract
We introduce two reasonable versions of approximately additive functions in a Šerstnev probabilistic normed space endowed with ΠM triangle function. More precisely, we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in above mentioned spaces.