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Remarks concerning the pexiderized Gołąb-Schinzel functional equation

Jabłońska E.

Journal of Mathematics and Applications

2012

Vol. 35

33--38

This paper is devoted to proof of theorem concerning solutions of the pexiderized Gołąb-Schinzel functional equation. We provide explicite formulas expressing solutions of the equation. Our considerations refer to the paper [6].

Pexider equation on a restricted domain

Sobek B.

Demonstratio Mathematica

2010

Vol. 43, nr 1

81-88

We prove an extension theorem for Pexider equation on a restricted domain in a uniquely 2-divisible Abelian topological group which has a base of open neighbourhoods of 0 satisfying some 2-divisibility conditions.

Note on Jensen and Pexider functional equations

Smajdor W.

Demonstratio Mathematica

1999

Vol. 32, nr 2

363-376

We determine the general solutions of the Jensen functional equation 2f (x+y):2=f(x) + f(y), x,y zawiera się M and the Pexider functional equation f(x+y)=g(x)+h(y), x,y zawiera się M , for f, g, h : M --+ S , where M is an Abelian semigroup with the division by 2 and S is an abstract convex cone satisfying the cancellation law. Some applications to set-valued versions of these equations are given.