HUR stability of a generalized Apollonius type quadratic functional equation in non-Archimedean Banach spaces

DOI10.1186/2251-7456-6-50zbMath1271.39029OpenAlexW2168612759WikidataQ59272934 ScholiaQ59272934MaRDI QIDQ2391752

Publication date: 5 August 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-50

zbMATH Keywords

non-Archimedean normed space \(p\)-adic field Apollonius type quadratic functional equation fixed point and direct methods Hyers-Ulam-Rassias (HUR) stability

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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