Stability of a mixed additive and quadratic functional equation in non-Archimedean Banach modules

DOI10.11650/TWJM/1500405948zbMath1218.39026OpenAlexW4256019977MaRDI QIDQ532940

Hamid Vaezi, Golamreza Zamani Eskandani, Y. N. Dehghan

Publication date: 6 May 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405948

zbMATH Keywords

Hyers-Ulam-Rassias stabilityHyers-Ulam stabilityquadratic mappingnon-Archimedean spaceadditive mappingadditive-quadratic functional equationnon-Archimedean Banach module over Banach algebra

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) Isomorphic theory (including renorming) of Banach spaces (46B03) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (10)

Hyers-Ulam-Rassias stability of derivations in proper \(JCQ^\ast\)-triples ⋮ Unnamed Item ⋮ A characterization of multi-mixed additive-quadratic mappings and a fixed point application ⋮ Nearly quadratic \(n\)-derivations on non-Archimedean Banach algebras ⋮ On the stability problem in fuzzy Banach space ⋮ Generalized Hyers-Ulam stability for a general mixed functional equation in quasi-\(\beta \)-normed spaces ⋮ A fixed point approach to the stability of additive-quadratic-quartic functional equations ⋮ Hyperstability of Jordan triple derivations on Banach algebras ⋮ Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces ⋮ Hyers-Ulam stability for a class of quadratic functional equations via a typical form

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