Multiplicative symmetry and related functional equations

DOI10.1007/BF01831138zbMath0857.39015MaRDI QIDQ1909655

Nicole Brillouët-Belluot

Publication date: 18 February 1997

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

Full work available at URL: https://eudml.org/doc/137628

zbMATH Keywords

topological groupcontinuous solutionsfunctional equationsgroupDarboux propertycommutative fieldcontinuous multiplicative symmetric functionsmonoïdmultiplicative symmetry

Mathematics Subject Classification ID

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

Related Items (2)

Stability problem for the composite type functional equations ⋮ New results for the multiplicative symmetric equation and related conjecture

Cites Work

• On the functional equation f(x+f(y))=f(x)f(y)
• Solution générale sur un groupe abelien de l'équation fonctionnelle \(f(x\ast f(y))=f(f(x)\ast y)\)
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