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RANDOM APPROXIMATION OF A GENERAL SYMMETRIC EQUATION

Authors
Rezaei, HamidPark, Choonkil
Issue Date
Oct-2015
Keywords
Hyers-Ulam stability; general symmetric equation; random normed space
Citation
Bulletin of the Iranian Mathematical Society, v.41, no.5, pp 1147 - 1159
Pages
13
Indexed
SCIE
SCOPUS
Journal Title
Bulletin of the Iranian Mathematical Society
Volume
41
Number
5
Start Page
1147
End Page
1159
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143119
ISSN
1735-8515
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.
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