Generalized Ulam–Hyers Stability Results: A Fixed Point Approach
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Publication:5249870
DOI10.1007/978-1-4939-1286-5_5zbMath1314.39030OpenAlexW2188983774MaRDI QIDQ5249870
Publication date: 12 May 2015
Published in: Handbook of Functional Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-1286-5_5
monomial functional equationCauchy functional equationUlam-Hyers stabilityfixed point approachgeneralized\(\beta\)-norm
Related Items
Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces, Stability for a family of equations generalizing the equation of \(p\)-Wright affine functions
Cites Work
- Fixed points and generalized Hyers-Ulam stability
- Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
- Hyperstability of the Cauchy equation on restricted domains
- On an \(n\)-dimensional mixed type additive and quadratic functional equation
- Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
- A fixed point approach to stability of functional equations
- A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
- Remark on hyperstability of the general linear equation
- Fixed point methods for the generalized stability of functional equations in a single variable
- On stability of additive mappings
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the Hyers-Ulam-Rassias stability of approximately additive mappings
- On the stability of functional equations and a problem of Ulam
- On the stability of functional equations in Banach spaces
- A linear functional equation of third order associated with the Fibonacci numbers
- 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 stability of the linear functional equation in a single variable on complete metric groups
- Stability of the equation of the \(p\)-Wright affine functions
- Stability of functional equations in random normed spaces
- The Hyers-Ulam stability for two functional equations in a single variable
- On the stability of the linear transformation in Banach spaces
- A General Fixed Point Method for the Stability of Cauchy Functional Equation
- The Stability of Certain Functional Equations
- On the Stability of the Linear Mapping in Banach Spaces
- Classes of transformations and bordering transformations
- Stability of functional equations in several variables
- On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings
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