On stability and hyperstability of an equation characterizing multi-Cauchy-Jensen mappings

DOI10.1007/s00025-018-0815-8zbMath1404.39026OpenAlexW2790443666WikidataQ130118863 ScholiaQ130118863MaRDI QIDQ722465

Anna Bahyrycz, Jolanta Olko

Publication date: 23 July 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0815-8

zbMATH Keywords

Hyers-Ulam stabilityfixed point theoremhyperstabilitymulti-Cauchy-Jensen mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)

Related Items

On the stability of multi-m-Jensen mappings ⋮ Characterization and stability of multimixed additive-quartic mappings: a fixed point application ⋮ Random stability and hyperstability of multi-quadratic mappings ⋮ On a class of linear functional equations without range condition ⋮ Approximate multi-Jensen-cubic mappings and a fixed point theorem ⋮ On Ulam stability of a functional equation ⋮ A fixed point application for the stability and hyperstability of multi-Jensen-quadratic mappings ⋮ Approximation of the multi-\(m\)-Jensen-quadratic mappings and a fixed point approach ⋮ The hyperstability of general linear equation via that of Cauchy equation ⋮ On an equation characterizing multi-Jensen-quartic mappings and its stability ⋮ Functional inequalities for multi-additive-quadratic-cubic mappings

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