An alternative Cauchy functional equation on a semigroup

DOI10.1007/s00010-012-0131-4zbMath1271.39017OpenAlexW2166074978MaRDI QIDQ1942001

Prasanna K. Sahoo, Valeriy A. Faĭziev, Robert C. Powers

Publication date: 25 March 2013

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

Full work available at URL: https://doi.org/10.1007/s00010-012-0131-4

zbMATH Keywords

semigroupgroupCauchy functional equationfunctional congruencealternative Cauchy functional equationstability of 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)

Cites Work

• On an alternative Cauchy equation
• The stability of homomorphisms and amenability, with applications to functional equations
• A method for solving a conditional Cauchy equation on Abelian groups
• On a theorem of van der Corput
• Functional equations on restricted domains
• On the Cauchy difference
• Conditional functional equations and orthogonal additivity
• On functions having Cauchy differences in some prescribed sets
• On an alternative functional equation related to the Cauchy equation
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