A quadratic functional equation with involutive automorphisms on semigroups

DOI10.1007/s40590-022-00413-yzbMath1490.39031OpenAlexW4212886478MaRDI QIDQ2116808

Driss Zeglami, A. Mouzoun, Y. Aissi

Publication date: 18 March 2022

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-022-00413-y

zbMATH Keywords

automorphismfunctional equationsemigroupadditive functionquadraticsymmetrized additive Cauchy equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (2)

D'Alembert's \(\mu\)-matrix functional equation on groups with an anti-endomorphism ⋮ New pexiderizations of Drygas' functional equation on abelian semigroups

Cites Work

• The kernel of the second order Cauchy difference on semigroups
• Functional equations on abelian groups with involution
• Functional equations on semigroups
• Matrix homomorphism equations on a class of monoids and non abelian groupoids
• On inner products in linear, metric spaces
• Solution of Whitehead equation on groups
• On Jensen’s and the quadratic functional equations with involutions
• A variant of the quadratic functional equation on semigroups
• Functional Equations and Inequalities with Applications
• Functional Equations on Groups
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