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Zbl 1228.39025
Eskandani, G.Zamani
On the Hyers-Ulam-Rassias stability of an additive functional equation in quasi-Banach spaces.
(English)
[J] J. Math. Anal. Appl. 345, No. 1, 405-409 (2008). ISSN 0022-247X

Summary: We investigate the Hyers-Ulam-Rassias stability of the following functional equation $$\sum_{i=1}^m f(mx_i+\sum_{j=1,j\neq i}^m x_j)+ f(\sum_{i=1}^m x_i)=2f(\sum_{i=1}^m mx_i), ~(m\in\bbfN,~m\ge 2)$$ in quasi-Banach spaces.
MSC 2000:
*39B82 Stability, separation, extension, and related topics

Keywords: Hyers-Ulam-Rassias stability; additive mapping; quasi-Banach space; $p$-Banach space

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