On approximation of approximate solutions of Dhombres' equation
From MaRDI portal
Publication:2467778
DOI10.1016/j.jmaa.2007.08.009zbMath1133.39026OpenAlexW2020194318MaRDI QIDQ2467778
Publication date: 28 January 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.2007.08.009
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items
Approximate Drygas mappings on a set of measure zero, A generalized Hyers-Ulam stability of a pexiderized logarithmic functional equation in restricted domains, Stability of a Jensen type logarithmic functional equation on restricted domains and its asymptotic behaviors, Stability of Jensen-type functional equations on restricted domains in a group and their asymptotic behaviors, Measure Zero Stability Problem for Drygas Functional Equation with Complex Involution, Stability of a conditional Cauchy equation, Measure zero stability problem of a new quadratic functional equation, Quadratic functional equations in a set of Lebesgue measure zero, Stability of a conditional Cauchy equation on a set of measure zero, Stability of a quartic functional equation in restricted domains, On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains, Spectral representation theory and stability of the multiplicative Dhombres functional equation in \(f\)-algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On approximation of approximately linear mappings by linear mappings
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- 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
- Hyers-Ulam stability of functional equations in several variables
- On the Hyers-Ulam stability of linear mappings
- On the stability of the linear transformation in Banach spaces
- Stability of Dhombres' equation
- On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
- On the Stability of the Linear Mapping in Banach Spaces
- On the asymptoticity aspect of Hyers-Ulam stability of mappings
- Classes of transformations and bordering transformations
- On the Stability of the Linear Functional Equation