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

Continuous Solutions of Conditional Composite Type Functional Equations

“…> 0, putting in (4) x = z 1 and y = z2−z1 2g(z1) , we obtain z1+z2 2 ∈ Z f which again contradicts (11).…”

“…Some aspects of this equation have been studied in [11] and [15][16][17]. Motivated by the question of Professor L. Reich we determine the solutions of the functional equation…”

Functional equations of the Goła̧b-Schinzel type on a cone

“…Further going pexiderization of the Gołab-Schinzel equation have been investigated in [5]- [6] and [10]- [11]. In a recent paper [8] the results of [1] and [19] have been generalized.…”

On continuous on rays solutions of a composite-type equation

“…f (x + g(x)y) = f (x)f (y) (1.1) 584 E. Jab lońska AEM For the first time the equation (1.1) was studied in 2006 by J. Chudziak [3]. Among others, he determined all real solutions of this equation under the assumption that g is continuous.…”