Abstract
Let X be a linear space over the field K of real or complex numbers and (S, °) be a semigroup. We determine all solutions of the functional equation
in the class of pairs of functions (f,g) such that f : X → S and g : X → K satisfies some regularity assumptions. Several consequences of this result are presented.
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Chudziak, J. Semigroup-valued solutions of some composite equations. Aequat. Math. 88, 183–198 (2014). https://doi.org/10.1007/s00010-013-0228-4
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DOI: https://doi.org/10.1007/s00010-013-0228-4