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A note on stability of Fischer-Muszély functional equation.
- Source :
- Aequationes Mathematicae; Jun2015, Vol. 89 Issue 3, p605-612, 8p
- Publication Year :
- 2015
-
Abstract
- Recently, Dong (Aequ Math 86:269-277, ) has proved the generalized stability of the functional equation $${\|f(x + y)\| = \|f(x) + f(y)\|}$$ under the assumption that X, the domain of f, is an Abelian group. In this paper, we prove a generalization of this result by removing the commutativity assumption of X. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 89
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 103002395
- Full Text :
- https://doi.org/10.1007/s00010-013-0245-3