科研之友
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摘要
A mapping f : V-n -> W, where V is a commutative semigroup, W is a linear space and n is a positive integer, is called multiadditive if it is additive in each variable. In this paper we prove the Hyers-Ulam stability of multi-additive mappings in 2-Banach spaces. The corollaries from our main results correct some outcomes from [W.-G. Park, Approximate additive mappings in 2-Banach spaces and related topics, T. Math. Anal. Appl. 376 (2011) 193-202].
- 出版日期2015-7
