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

• Autores: Marcin Balcerowski
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 3, 2008, págs. 297-303
• Idioma: inglés
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• Resumen

  • We present some properties of solutions of the equation where f is a self-mapping of an abelian group. Among others we prove that if such a solution f vanishes at 0 then 2f is additive. Using this we solve the equation in the class of self�mappings of the complex plane continuous at a point.