Fuzzy approximation of an additive functional equation (Q646805)
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: Fuzzy approximation of an additive functional equation |
scientific article; zbMATH DE number 5974893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy approximation of an additive functional equation |
scientific article; zbMATH DE number 5974893 |
Statements
Fuzzy approximation of an additive functional equation (English)
0 references
18 November 2011
0 references
After a very short introduction to the theory of fuzzy normed spaces the authors study the generalized Hyers-Ulam-Rassias stability of the functional equation \[ \sum_{i=1}^{m} f(m x_{i} + \sum_{j=1, j\neq i}^{m} x_{i}) + f(\sum_{i=1}^{m}x_{i}) = 2f(\sum_{i=1}^{m} m x_{i}) \] in fuzzy Banach spaces.
0 references
fuzzy normed space
0 references
Hyers-Ulam-Rassias stability
0 references
fuzzy Banach spaces
0 references
