Description

• Title:
  A variant of d'Alembert's functional equation on semigroups with endomorphisms
• Creator:
  Akkaoui, Ahmed;
  El Fatini, Mohamed;
  Fadli, Brahim
• Description:
  Let S be a semigroup, and let ϕ,ψ:S→S be two endomorphisms (which are not necessarily involutive). Our main goal in this paper is to solve the following generalized variant of d’Alembert’s functional equationf(xϕ(y))+f(ψ(y)x) = 2f(x)f(y), x,y∈S,where f:S→ℂ is the unknown function by expressing its solutions in terms of multiplicative functions. Some consequences of this result are presented.
• Object availability:
  free access
• Date:
  2022.03.22
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 36 No 1 (2022); 1-14;
  Annales Mathematicae Silesianae; Tom 36 Nr 1 (2022); 1-14;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13456/10369
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13456
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other