Approximate multi-additive mappings in 2-Banach spaces

نویسنده

  • K. Cieplinski AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
چکیده مقاله:

A mapping $f:V^n longrightarrow W$, where $V$ is a commutative semigroup, $W$ is a linear space and $n$ is a positive integer, is called multi-additive 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,   J. Math. Anal. Appl.  376 (2011) 193--202].

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عنوان ژورنال

دوره 41  شماره 3

صفحات  785- 792

تاریخ انتشار 2015-06-01

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