Article ID Journal Published Year Pages File Type
4618612 Journal of Mathematical Analysis and Applications 2011 8 Pages PDF
Abstract

A function f:Vn→W, where V is a commutative semigroup, W is a linear space and n⩾1 is an integer, is called multi-additive if it is additive in each variable. In this paper we prove the generalized Hyers–Ulam stability of multi-additive mappings in non-Archimedean normed spaces, using the so-called direct method.

Related Topics
Physical Sciences and Engineering Mathematics Analysis