Title of article :
Approximation of an additive mapping in various normed spaces
Author/Authors :
Shiri، Mohammad Sadegh نويسنده Department of Mathematics, Arsanjan Branch, Islamic Azad University , , AZADI KENARY، HASSAN نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی 0 سال 2015
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}
f\left(\frac{x+y+z}{2}\right)+f\left(\frac{x-y+z}{2}\right)=f(x)+f(z)\end{equation}
in various normed spaces.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
