@article {
author = {Shiri, M. S. and Azadi Kenary, H.},
title = {Approximation of an additive mapping in various normed spaces},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {41},
number = {5},
pages = {1213-1233},
year = {2015},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam-Rassias stability of the following Cauchy-Jensen additive functional equation: begin{equation}label{main} fleft(frac{x+y+z}{2}right)+fleft(frac{x-y+z}{2}right)=f(x)+f(z)end{equation} in various normed spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.},
keywords = {Hyers-Ulam-Rassias stability,non-Archimedean normed spaces,random normed spaces},
url = {http://bims.iranjournals.ir/article_686.html},
eprint = {http://bims.iranjournals.ir/article_686_ef1ccfb37f5b6e7b4200e921fa0b1fdd.pdf}
}