Stability of a mixed additive and cubic functional equation in quasi-Banach spaces

DOI10.1016/j.jmaa.2007.12.039zbMath1228.39028OpenAlexW2016835844MaRDI QIDQ2481927

Abbas Najati, Golamreza Zamani Eskandani

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.12.039

zbMATH Keywords

Hyers-Ulam-Rassias stabilityquasi-Banach spaceadditive mappingcubic mapping\(p\)-Banach space

Mathematics Subject Classification ID

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

Related Items (32)

Stability of a mixed additive and quadratic functional equation in quasi-Banach spaces ⋮ GENERALIZED HYERS-ULAM STABILITY FOR A GENERAL CUBIC FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES ⋮ Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces ⋮ Approximate Cauchy functional inequality in quasi-Banach spaces ⋮ Fuzzy stability of generalized mixed type cubic, quadratic, and additive functional equation ⋮ Hyers-Ulam-Rassias stability of derivations in proper \(JCQ^\ast\)-triples ⋮ Approximate behavior of bi-quadratic mappings in quasinormed spaces ⋮ Intuitionistic random almost additive-quadratic mappings ⋮ Unnamed Item ⋮ Approximation of mixed-type functional equations in Menger PN-spaces ⋮ On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in \(n\)-Banach spaces ⋮ The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-\(\beta \)-normed spaces ⋮ Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces ⋮ Generalized stability of Euler-Lagrange quadratic functional equation ⋮ Unnamed Item ⋮ On the stability of a general mixed additive-cubic functional equation in random normed spaces ⋮ Unnamed Item ⋮ Stability of a mixed additive and cubic functional equation in several variables in non-Archimedean spaces ⋮ On the Hyers-Ulam-Rassias stability of an additive functional equation in quasi-Banach spaces ⋮ Approximation of the mixed additive and cubic functional equation in paranormed spaces ⋮ Stability of Euler-Lagrange-type cubic functional equations in quasi-Banach spaces ⋮ General solution and stability of additive-quadratic functional equation in IRN-space ⋮ On fuzzy approximately cubic type mapping in fuzzy Banach spaces ⋮ The generalized hyperstability of general linear equations in quasi-Banach spaces ⋮ Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces ⋮ On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces ⋮ Unnamed Item ⋮ Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces ⋮ Unnamed Item ⋮ Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces ⋮ Intuitionistic fuzzy stability of a general mixed additive-cubic equation ⋮ Ulam stability of a quadratic-type functional equation in 3 variables in the quasi-Banach space

Cites Work

• On the stability of a cubic functional equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• Ulam stability problem for a mixed type of cubic and additive functional equation
• On Riemann integration of functions with values in topological linear spaces
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Unnamed Item
• Unnamed Item

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