Published: 2023-08-29

New Pexiderizations of Drygas’ functional equation on abelian semigroups

Youssef Aissi Logo ORCID , Driss Zeglami

Abstract

Let (S,+) be an abelian semigroup, let (H,+) be an abelian group which is uniquely 2-divisible, and let ϕ be an endomorphism of S. We find the solutions f,h: SH of each of the functional equations
f(x+y) + f(x+ϕ(y)) = h(x) + f(y) + fϕ(y), x,yS,
f(x+y) + f(x+ϕ(y)) = h(x) + 2f(y), x,yS,
in terms of additive and bi-additive maps. Moreover, as applications, we determine the solutions of some related functional equations.

Download files

Citation rules

Aissi, Y., & Zeglami, D. (2023). New Pexiderizations of Drygas’ functional equation on abelian semigroups. Annales Mathematicae Silesianae, 37(2), 169–184. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15881

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.

Domyślna okładka

Vol. 37 No. 2 (2023)
Published: 2023-09-21


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

This website uses cookies for proper operation, in order to use the portal fully you must accept cookies.