On the Stability of a Parametric Additive Functional Equation in Quasi-Banach Spaces

A. Ebadian, N. Ghobadipour and M. Eshaghi Gordji

Abstract and Applied Analysis, 2012, vol. 2012, 1-14

Abstract:

We investigate the generalized Hyers-Ulam stability of the following functional equation ∑ 𠑚 𠑖 = 1 𠑓 ( 𠑥 𠑖 ) = 1 / 2 𠑚 [ ∑ 𠑚 𠑖 = 1 𠑓 ( 𠑚 𠑥 𠑖 + ∑ 𠑚 𠑗 = 1 , 𠑗 ≠𠑖 𠑥 𠑗 ) + 𠑓 ( ∑ 𠑚 𠑖 = 1 𠑥 𠑖 ) ] for a fixed positive integer 𠑚 with 𠑚 ≥ 2 in quasi-Banach spaces.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:235359

DOI: 10.1155/2012/235359

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