Generalized stability of multi-additive mappings (Q990808)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Generalized stability of multi-additive mappings |
scientific article; zbMATH DE number 5777306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized stability of multi-additive mappings |
scientific article; zbMATH DE number 5777306 |
Statements
Generalized stability of multi-additive mappings (English)
0 references
1 September 2010
0 references
Let \(V\) be a commutative semigroup, \(W\) a Banach space and \(n \geq 1\) an integer. A function \(f : V^n \to W\) is said to be multi-additive if \(f\) is additive in each variable. In this paper, the author studies the generalized stability of the multi-additive mappings using the direct method.
0 references
multi-additive mapping
0 references
commutative semigroup
0 references
Banach space
0 references
generalized stability
0 references
direct method
0 references
0 references
0 references
