Hyperstability of the \(k\)-cubic functional equation in non-Archimedean Banach spaces

DOI10.1155/2020/8843464zbMath1489.39031OpenAlexW3112186329MaRDI QIDQ2228199

Publication date: 16 February 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8843464

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

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On Hyers-Ulam stability of generalized linear functional equation and its induced Hyers-Ulam programming problem
On the hyperstability of \(\sigma\)-Drygas functional equation on semigroups
Stability of the equation of \((p,q)\)-Wright functions
Remarks on hyperstability of the Cauchy functional equation
Stability of additivity and fixed point methods
Hyperstability of the Cauchy equation on restricted domains
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
Hyperstability of a functional equation
A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
Hyperstability and superstability
Hyperstability of the Jensen functional equation in ultrametric spaces
On approximately \(p\)-Wright affine functions in ultrametric spaces
Hyperstability of the Jensen functional equation
Approximately isometric and multiplicative transformations on continuous function rings
On the stability of the linear transformation in Banach spaces
ON HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES
On the Stability of the Linear Mapping in Banach Spaces
Hyperstability of cubic functional equation in ultrametric spaces
Solution of the Ulam stability problem for Euler-Lagrange-Jensen k-cubic mappings
Solution of the Ulam stability problem for Euler–Lagrange–Jensen k‐quintic mappings
A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION
Some Functional Equations in Groups and Rings.
On stability of the general linear equation

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