Approximation of a Cauchy-Jensen additive functional equation in non-Archimedean normed spaces

DOI10.1016/S0252-9602(12)60174-XzbMath1289.39056OpenAlexW2108270477MaRDI QIDQ376869

Hassan Azadi Kenary

Publication date: 19 November 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60174-x

zbMATH Keywords

Hyers-Ulam stabilitydirect methodsfixed point methodnon-Archimedean normed spacesCauchy-Jensen additive functional equation

Mathematics Subject Classification ID

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)

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Hyers-Ulam stability of functional equation deriving from quadratic mapping in non-Archimedean \((n,\beta)\)-normed spaces

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