On stability of a functional equation with \(n\) variables

DOI10.1016/j.na.2005.06.028zbMath1098.39018OpenAlexW2041836555MaRDI QIDQ2492408

Jae-Hyeong Bae, Won-Gil Park

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.06.028

zbMATH Keywords

Hyers-Ulam stabilitynormed spacesapproximately even/odd mappings

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items

Generalized Ulam-Hyers stability of \(C^*\)-ternary algebra \(n\)-homomorphisms for a functional equation ⋮ A fixed-point approach to the stability of a functional equation on quadratic forms ⋮ Stability of a 2-dimensional functional equation in a class of vector variable functions ⋮ \(C^\ast\)-ternary 3-homomorphisms on \(C^\ast\)-ternary algebras ⋮ On fuzzy approximately cubic type mapping in fuzzy Banach spaces ⋮ A multidimensional functional equation having quadratic forms as solutions ⋮ On the asymptoticity aspect of Hyers-Ulam stability of quadratic mappings ⋮ Solutions and the generalized Hyers-Ulam-Rassias stability of a generalized quadratic-additive functional equation ⋮ Stability of a bi-additive functional equation in Banach modules over a \(C^\star\)-algebra

Cites Work

• On Jensen's functional equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Quadratic functional equation and inner product spaces
• On the Stability of the Linear Mapping in Banach Spaces
• On Hyers-Ulam-Rassias stability of a quadratic functional equation
• On the Stability of the Linear Functional Equation
• On the stability of the quadratic mapping in normed spaces
• On the stability of the quadratic mapping in normed spaces