Stability of a generalized Jensen equation on restricted domains

DOI10.7153/jmi-04-18zbMath1219.39016arXivmath/0511320OpenAlexW2154496707MaRDI QIDQ3004380

Jung, Soon-Mo, Mohammad Sal Moslehian, Prasanna K. Sahoo

Publication date: 1 June 2011

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511320

zbMATH Keywords

asymptotic behaviorconditional stabilityHyers-Ulam stabilityBanach spaceJensen's functional equationorthogonality spaceHyers' iteration methodpunctured space

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) Orthogonal additivity and other conditional functional equations (39B55)

Related Items (14)

Hyperstability of Cauchy-Jensen functional equations ⋮ Approximate derivations with the radical ranges of noncommutative Banach algebras ⋮ Unnamed Item ⋮ A Fixed Point Approach to Stability of the Quadratic Equation ⋮ The hyperstability of AQ-Jensen functional equation on 2-divisible abelian group and inner product spaces ⋮ Approximately quadratic mappings on restricted domains ⋮ Approximate linear derivations and functional inequalities with applications ⋮ Hyperstability of a Linear Functional Equation on Restricted Domains ⋮ Hyperstability of the Jensen functional equation ⋮ A fixed points approach to stability of the Pexider equation ⋮ Hyperstability of an \(n\)-dimensional Jensen type functional equation ⋮ Hyers-Ulam stability of a bi-Jensen functional equation on a punctured domain ⋮ On the hyperstability of a Cauchy-Jensen type functional equation in Banach spaces ⋮ Recent developments of the conditional stability of the homomorphism equation

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