The generalized cubic functional equation and the stability of cubic Jordan \(\ast\)-derivations

DOI10.1007/s11565-013-0185-9zbMath1306.39017OpenAlexW2039221013MaRDI QIDQ467132

Abasalt Bodaghi, Hamidreza Rahimi, Seyed Mohsen Moosavi

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-013-0185-9

zbMATH Keywords

Banach algebraHyers-Ulam stabilityfixed point methodsuperstabilitycubic functional equationcubic derivationscubic Jordan \(*\)-derivations

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (17)

Mixed type of additive and quintic functional equations ⋮ Equalities and inequalities for several variables mappings ⋮ Hyers-Ulam stability quintic functional equation in F-spaces: direct method ⋮ Almost Multi-Cubic Mappings and a Fixed Point Application ⋮ Approximate multi-Jensen-cubic mappings and a fixed point theorem ⋮ General Solution and Hyers–Ulam Stability of DuoTrigintic Functional Equation in Multi-Banach Spaces ⋮ Intuitionistic Fuzzy Stability of an Finite Dimensional Cubic Functional Equation ⋮ Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations ⋮ An \(n\)-dimensional cubic functional equation and its Hyers-Ulam stability ⋮ Duotrigintic functional equation and its stability in Banach spaces ⋮ Unnamed Item ⋮ Two multi-cubic functional equations and some results on the stability in modular spaces ⋮ Characterization, stability and hyperstability of multi-quadratic-cubic mappings ⋮ On an equation characterizing multi-Jensen-quartic mappings and its stability ⋮ Unnamed Item ⋮ Solution and stability of a mixed type functional equation ⋮ Multiquartic functional equations

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