A new hyperstability result for the Apollonius equation on a restricted domain and some applications
DOI10.1007/s11784-018-0573-yzbMath1397.39020OpenAlexW2804306326MaRDI QIDQ721237
Publication date: 18 July 2018
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-018-0573-y
fixed point theoremstability of functional equationshyperstabilityultrametric spaceApollonius equation
Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Non-Archimedean analysis (26E30) Numerical methods for functional equations (65Q20)
Cites Work
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- Remarks on hyperstability of the Cauchy functional equation
- Stability of additivity and fixed point methods
- Hyperstability of the Cauchy equation on restricted domains
- On the stability of Appolonius' equation
- A fixed point approach to the stability of functional equations in non-Archimedean metric spaces
- Hyperstability of a functional equation
- On a modified Hyers-Ulam sequence
- On stability of additive mappings
- On the stability of functional equations in Banach spaces
- Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdȩk's fixed point theorem
- Hyperstability and superstability
- Remarks on stability of some inhomogeneous functional equations
- Ulam stability of operators
- On a new type of hyperstability for radical cubic functional equation in non-Archimedean metric spaces
- Approximately isometric and multiplicative transformations on continuous function rings
- On the stability of the linear transformation in Banach spaces
- ON THE STABILITY OF THE MONOMIAL FUNCTIONAL 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
- A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION
- Classes of transformations and bordering transformations
- On the Stability of the Linear Functional Equation
- Approximate homomorphisms
- Stability of functional equations in several variables
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