Approximate homomorphisms and derivation in multi-Banach algebras

• Autorzy: Ravi P. Agarwal , Yeol Je Cho , Choonkil Park , Reza Saadati
• Języki publikacji: EN

Abstrakty

EN

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 \(m\geq 2\).

Słowa kluczowe

EN

Additive functional equation; fixed point; homomorphism in multi-Banach algebra; generalized Hyers-Ulam stability; derivation on multi-Banach algebra; multi-normed space

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2011
• Tom: 51
• Numer: 1

Daty

wydano

2011

online

2017-12-19

Twórcy

autor

Ravi P. Agarwal

autor

Yeol Je Cho

autor

Choonkil Park

autor

Reza Saadati

Identyfikatory

DOI

10.14708/cm.v51i1.5306