A new type of approximation for the radical quintic functional equation in non-Archimedean \((2,\beta)\)-Banach spaces

DOI10.1016/j.jmaa.2017.08.015zbMath1376.39011OpenAlexW2745594395MaRDI QIDQ2405373

Iz-iddine EL-Fassi

Publication date: 25 September 2017

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.2017.08.015

zbMATH Keywords

fixed point theoremhyperstabilitynon-Archimedean \((2, \beta)\)-normed spaceradical quintic functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Stability, separation, extension, and related topics for functional equations (39B82) 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)

Related Items (9)

New stability results for the radical sextic functional equation related to quadratic mappings in \((2,\beta )\)-Banach spaces ⋮ Hyperstability criterion for a new type of 2-variable radical functional equations ⋮ On the general solution and hyperstability of the general radical quintic functional equation in quasi-\(\beta\)-Banach spaces ⋮ Approximate solution of a \(p\)-th root functional equation in non-Archimedean \((2, \beta)\)-Banach spaces ⋮ A fixed point approach to stability of \(k\)-th radical functional equation in non-Archimedean \((n,\beta)\)-Banach spaces ⋮ A fixed point approach to the stability of additive-quadratic-quartic functional equations ⋮ The generalized hyperstability of general linear equations in quasi-Banach spaces ⋮ Approximate solution of radical quartic functional equation related to additive mapping in 2-Banach spaces ⋮ Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces

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