ON APPROXIMATE n-ARY DERIVATIONS

DOI10.1142/S0219887811005245zbMath1228.39026OpenAlexW2001070280MaRDI QIDQ3087424

Razieh Khodabakhsh, Hamid Khodaei, Madjid Eshaghi-Gordji

Publication date: 16 August 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887811005245

zbMATH Keywords

stabilityfixed point approachJensen-type functional equation\(n\)-ary algebra\(*\)-\(n\)-ary derivations\(n\)-ary Banach algebras\(n\)-ary derivations\(n\)-ary Jordan derivations

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Commutators, derivations, elementary operators, etc. (47B47) Functional equations for functions with more general domains and/or ranges (39B52) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items

Orthogonality and quintic functional equations ⋮ Orthogonally additive-additive and orthogonally quadratic-quadratic functional equation in orthogonality spaces ⋮ Approximate \(n\)-Lie homomorphisms and Jordan \(n\)-Lie homomorphisms on \(n\)-Lie algebras ⋮ Approximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebras ⋮ Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras ⋮ Stability of a bi-additive functional equation in Banach modules over a \(C^\star\)-algebra ⋮ 3-LIE MULTIPLIERS ON BANACH 3-LIE ALGEBRAS

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