An abstract form of a conditional Cauchy's equation

Rok, strany: 1993, 61 - 64

Let $D$ and $E$ be non-void sets, let $φ:D\to D$, $ψ:D\to D$ and $Φ:E× E\to E$ be maps. The functional equation

$$ Φ(f(x), f(φ(x))=f(ψ(x)) $$

with one unknown function $f:D\to E$ is investigated and a problem of K. Lajkó is discussed.

ISO 690:

Kostyrko, P. 1993. An abstract form of a conditional Cauchy's equation. In Tatra Mountains Mathematical Publications, vol. 2, no.1, pp. 61-64. 1210-3195.

APA:

Kostyrko, P. (1993). An abstract form of a conditional Cauchy's equation. Tatra Mountains Mathematical Publications, 2(1), 61-64. 1210-3195.