On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in \(n\)-Banach spaces

DOI10.1155/2012/926390zbMath1237.39036OpenAlexW2088527302WikidataQ58697107 ScholiaQ58697107MaRDI QIDQ417224

Tian-Zhou Xu, John Michael S. Rassias

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1155/2012/926390

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (14)

Approximate mixed type quadratic-cubic functional equation ⋮ Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces ⋮ On the Hyers–Ulam stability and hyperstability of a generalized quadratic functional equation in n-Banach spaces ⋮ A fixed point approach to stability of \(k\)-th radical functional equation in non-Archimedean \((n,\beta)\)-Banach spaces ⋮ Unnamed Item ⋮ On the Ulam-Hyers stability of the complex functional equation \(F(z)+F(2z)+\cdots +F(nz)=0 \) ⋮ On the Mazur-Ulam theorem in non-Archimedean fuzzy \(n\)-normed spaces ⋮ On approximate homomorphisms of ternary semigroups ⋮ A fixed point theorem in \(n\)-Banach spaces and Ulam stability ⋮ Unnamed Item ⋮ Asymptotic behavior of almost quartic \(\ast \)-derivations on Banach \(\ast \)-algebras ⋮ Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in \(n\)-Banach spaces ⋮ Stability of various functional equations in non-Archimedean \((n,\beta)\)-normed spaces ⋮ Stability of functional equations in \((n,\beta)\)-normed spaces

Cites Work

• Unnamed Item
• Unnamed Item
• On the stability of functional equations
• The stability of the quartic functional equation in various spaces
• Approximate additive mappings in 2-Banach spaces and related topics
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of functional equations in single variable.
• Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces
• Stability of a mixed additive and cubic functional equation in quasi-Banach spaces
• On the stability of the linear transformation in Banach spaces
• Characterizations on isometries in linear \(n\)-normed spaces
• Orthogonality and Orthonormality inn-Inner Product Spaces
• On the Stability of the Linear Mapping in Banach Spaces
• Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces
• Lineare 2‐normierte Räume
• 2‐Banach Spaces
• Über 2‐BANACH‐Räume
• 2‐metrische Räume und ihre topologische Struktur
• On the Stability of the Linear Functional Equation

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