APPROXIMATION OF AN ADDITIVE MAPPING IN VARIOUS NORMED SPACES

作者：Shiri M S; Kenary H Azadi^*

来源：Bulletin of the Iranian Mathematical Society, 2015, 41(5): 1213-1233.

• Hyers-Ulam-Rassias stability
• non-Archimedean normed spaces
• random normed spaces

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:
(0.1) f(x+y+z/2) + f(x-y+z/2) = f(x) + f(z)
in various normed spaces.

• 出版日期2015-11