Random approximation of an additive functional equation of \(m\)-Appolonius type

DOI10.1016/S0252-9602(12)60142-8zbMath1274.39060MaRDI QIDQ1954115

Azadi Kenary Hassan

Publication date: 20 June 2013

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

zbMATH Keywords

Hyers-Ulam stabilityfixed point methodrandom normed spaceadditive functional equationAppolonius type functional equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional analysis in probabilistic metric linear spaces (46S50)

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HUR stability of a generalized Apollonius type quadratic functional equation in non-Archimedean Banach spaces ⋮ Equivalence of semistability of Picard, Mann, Krasnoselskij and Ishikawa iterations

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