Stability and superstability of ring homomorphisms on non-archimedean Banach algebras

DOI10.1155/2011/123656zbMath1216.39035OpenAlexW1989233844WikidataQ58653805 ScholiaQ58653805MaRDI QIDQ535940

Zahra Alizadeh, Madjid Eshaghi-Gordji

Publication date: 16 May 2011

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

Full work available at URL: https://eudml.org/doc/224981

zbMATH Keywords

superstabilitygeneralized Hyers-Ulam stabilityfixed point methodsJensen functional equationnon-Archimedean Banach algebrasring homomorphisms

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)

Related Items (12)

Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation ⋮ Orthogonality and quintic functional equations ⋮ HUR-approximation of an ELTA functional equation ⋮ Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach ⋮ Nearly quadratic mappings over \(p\)-adic fields ⋮ Nearly radical quadratic functional equations in \(p-2\)-normed spaces ⋮ Nearly quadratic \(n\)-derivations on non-Archimedean Banach algebras ⋮ A fixed point approach to superstability of generalized derivations on non-Archimedean Banach algebras ⋮ Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras ⋮ Nearly ternary quadratic higher derivations on non-Archimedean ternary Banach algebras: a fixed point approach ⋮ Nearly Jordan \(\ast\)-homomorphisms between unital \(C^{\ast}\)-algebras ⋮ Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras

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