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On Baire measurable solutions of some functional equations

  • Research Article
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Central European Journal of Mathematics

Abstract

We establish conditions under which Baire measurable solutions f of

$$ \Gamma (x,y,|f(x) - f(y)|) = \Phi (x,y,f(x + \phi _1 (y)),...,f(x + \phi _N (y))) $$

defined on a metrizable topological group are continuous at zero.

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Correspondence to Karol Baron.

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Baron, K. On Baire measurable solutions of some functional equations. centr.eur.j.math. 7, 804–808 (2009). https://doi.org/10.2478/s11533-009-0042-3

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  • DOI: https://doi.org/10.2478/s11533-009-0042-3

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