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Semigroup-valued solutions of the Gołąb-Schinzel type functional equation

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Abstract

Let (S, o) be a semigroup. We determine all solutions of the functional equation

$$f(x + g(x)y) = f(x) \circ f(y)$$

under the assumption thatg : ℝ → ℝ is continuous andf : ℝ →S.

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  1. Department of Mathematics, University of Rzeszöw, Rejtana 16 A, 35-310, Rzeszów, Poland

    J. Chudziak

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  1. J. Chudziak
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Correspondence to J. Chudziak.

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Communicated by: A. Kreuzer

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Chudziak, J. Semigroup-valued solutions of the Gołąb-Schinzel type functional equation. Abh.Math.Semin.Univ.Hambg. 76, 91–98 (2006). https://doi.org/10.1007/BF02960858

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