A fixed point approach to superstability of generalized derivations on non-Archimedean Banach algebras

DOI10.1155/2011/587097zbMath1227.39022OpenAlexW1994123915WikidataQ58654324 ScholiaQ58654324MaRDI QIDQ642717

Badrkhan Alizadeh, Madjid Eshaghi-Gordji, Mohammad Bagher Ghaemi

Publication date: 27 October 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/587097

zbMATH Keywords

fixed point theoremgeneralized derivationssuperstabilityCauchy functional equationnon-Archimedean Banach algebras

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items

Stability and superstability of generalized \((\theta, \phi)\)-derivations in non-Archimedean algebras: fixed point theorem via the additive Cauchy functional equation ⋮ Nearly quadratic \(n\)-derivations on non-Archimedean Banach algebras

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