Geodesic
Approximate homomorphisms and derivation in multi-Banach algebras
Commentationes Mathematicae, Tome 51 (2011) no. 1, pp. 23-38.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-Banach algebras and derivations on multi-Banach algebras for the additive functional equation \[ \sum_{i=1}^m f\left(mx_i+\sum_{j=1, j\not=i}^m x_j\right) + f\left(\sum_{i=1}^m x_i\right) = 2 f \left(\sum_{i=1}^{m} mx_i\right) \] for each \(m\in \mathbb{N}\) with \(m\geq 2\).
DOI : 10.14708/cm.v51i1.5306
Mots-clés : Additive functional equation, fixed point, homomorphism in multi-Banach algebra, generalized Hyers-Ulam stability, derivation on multi-Banach algebra, multi-normed space 
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Ravi P. Agarwal; Yeol Je Cho; Choonkil Park; Reza Saadati. Approximate homomorphisms and derivation in multi-Banach algebras. Commentationes Mathematicae, Tome 51 (2011) no. 1, pp.  23-38. doi : 10.14708/cm.v51i1.5306. http://geodesic.mathdoc.fr/articles/10.14708/cm.v51i1.5306/

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