Ulam stability problem for quadratic mappings of Euler--Lagrange
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Publication:1779843
DOI10.1016/j.na.2004.07.058zbMath1074.39027OpenAlexW2082154351MaRDI QIDQ1779843
Publication date: 1 June 2005
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.2004.07.058
normed spaceHyers-Ulam stabilityBanach modulesquadratic functional equationlinear spacesEuler-Lagrange mapping
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items (6)
Generalization of Ulam stability problem for Euler-Lagrange quadratic mappings ⋮ Elementary remarks on Ulam-Hyers stability of linear functional equations ⋮ Inner Product Spaces and Quadratic Functional Equations ⋮ On the generalized \(A\)-quadratic mappings associated with the variance of a discrete-type distribution ⋮ Fuzzy stability of Jensen-type quadratic functional equations ⋮ Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping
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- On the asymptoticity aspect of Hyers-Ulam stability of mappings
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Approximate homomorphisms
- On the stability of the quadratic mapping in normed spaces
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