On the functional equation \(x + f(y + f(x)) = y + f(x + f (y))\)

DOI10.1007/s00010-007-2905-7zbMath1148.39018OpenAlexW2034871889MaRDI QIDQ933714

Marcin Balcerowski

Publication date: 25 July 2008

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

Full work available at URL: https://doi.org/10.1007/s00010-007-2905-7

zbMATH Keywords

Abelian groupcontinuous solutioncomplex planeadditive function

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52)

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Unbounded solutions of an iterative-difference equation ⋮ On the functional equation \(x + f(y + f(x)) = y + f(x + f(y))\) ⋮ On the functional equation \(x+f(y+f(x))=y+f(x+f(y))\). II

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