General criteria for hyperstability of Cauchy-type equations

نویسندگان

چکیده

We provide three large classes of control functions that ensure the hyperstability Cauchy equation on restricted domains included in various types commutative semigroups. Among other consequences, we obtain significant improvements similar results known from literature for several Aoki-Rassias-type functions.

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ژورنال

عنوان ژورنال: Aequationes Mathematicae

سال: 2023

ISSN: ['0001-9054', '1420-8903']

DOI: https://doi.org/10.1007/s00010-023-00954-1