Remarks on the Hyers-Ulam stability of some systems of functional equations
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Publication:2344699
DOI10.1016/j.amc.2012.10.057zbMath1311.39039OpenAlexW2030351026MaRDI QIDQ2344699
Krzysztof Ciepliński, Janusz Brzdȩk
Publication date: 15 May 2015
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.10.057
Cauchy equationHyers-Ulam stabilityquadratic equationJensen equationmulti-Cauchy-Jensen-quadratic function
Related Items (10)
On Hyers-Ulam stability of two functional equations in non-Archimedean spaces ⋮ On an equation characterizing multi-additive-quadratic mappings and its Hyers-Ulam stability ⋮ A characterization of multi-mixed additive-quadratic mappings and a fixed point application ⋮ On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method ⋮ Hyperstability and superstability ⋮ On stability and hyperstability of an equation characterizing multi-Cauchy-Jensen mappings ⋮ A fixed point application for the stability and hyperstability of multi-Jensen-quadratic mappings ⋮ Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in \(n\)-Banach spaces ⋮ Perov-type contractions ⋮ Multiquartic functional equations
Cites Work
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- Stability of multi-additive mappings in \(\beta\)-Banach spaces
- Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- Approximate behavior of bi-quadratic mappings in quasinormed spaces
- On the stability of the linear differential equation of higher order with constant coefficients
- On the stability of functional equations
- Approximation of analytic functions by Laguerre functions
- Stability of multi-additive mappings in non-Archimedean normed spaces
- On a Cauchy-Jensen functional equation and its stability
- Elementary remarks on Ulam-Hyers stability of linear functional equations
- A functional equation having monomials as solutions
- Stability of a Cauchy-Jensen functional equation in quasi-Banach spaces
- Generalized stability of multi-additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- Stability of functional equations in single variable.
- Multi-affine and multi-Jensen functions and their connection with generalized polynomials
- On the Hyers-Ulam stability of \(\psi\)-additive mappings
- Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
- On the generalized Hyers-Ulam stability of multi-quadratic mappings
- On the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation
- On a bi-quadratic functional equation and its stability
- Addendum to `On the stability of functional equations on square-symmetric groupoid'
- On the stability of the linear transformation in Banach spaces
- On the Stability of Functional Equations with Square-Symmetric Operation
- SOLUTION OF A VECTOR VARIABLE BI-ADDITIVE FUNCTIONAL EQUATION
- ON THE SOLUTIONS OF A BI-JENSEN FUNCTIONAL EQUATION AND ITS STABILITY
- STABILITY OF THE MULTI-JENSEN EQUATION
- ON MULTI-JENSEN FUNCTIONS AND JENSEN DIFFERENCE
- Proprieta’ locali e approssimazione di operatori
- Functions with bounded nth differences
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers-Ulam-Rassias stability of Jensen’s equation and its application
- Hyers–Ulam stability of functional equations with a square-symmetric operation
- Classes of transformations and bordering transformations
- On the Stability of the Linear Functional Equation
- Remarks on the stability of functional equations
- Stability of functional equations in several variables
- On the stability of the quadratic mapping in normed spaces
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