Stability of an alternative Cauchy equation on a restricted domain

DOI10.1007/s000100050079zbMath0935.39011OpenAlexW2075308635WikidataQ112226177 ScholiaQ112226177MaRDI QIDQ1296956

Bogdan Batko, Jacek Tabor

Publication date: 25 April 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050079

zbMATH Keywords

Hyers-Ulam stabilitycommutative semigroupadditive functionalternative Cauchy 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)

Related Items (8)

On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces ⋮ Local stability of a generalized Cauchy equation in Banach spaces ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ On approximate solutions of functional equations in vector lattices ⋮ Stability of the generalized alternative Cauchy equation ⋮ Stability of an alternative functional equation ⋮ Stability of the preservation of the equality of distance ⋮ Superstability of the Cauchy equation with squares in finite-dimensional normed algebras

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