Description

• Title:
  New Pexiderizations of Drygas’ functional equation on abelian semigroups
• Creator:
  Aissi, Youssef;
  Zeglami, Driss
• Description:
  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: S→H of each of the functional equationsf(x+y) + f(x+ϕ(y)) = h(x) + f(y) + f◦ϕ(y), x,y∈S,f(x+y) + f(x+ϕ(y)) = h(x) + 2f(y), x,y∈S,in terms of additive and bi-additive maps. Moreover, as applications, we determine the solutions of some related functional equations.
• Object availability:
  free access
• Date:
  2023.08.29
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol. 37 No. 2 (2023); 169-184;
  Annales Mathematicae Silesianae; Tom 37 Nr 2 (2023); 169-184;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/15881/12182
• Subject:
  Pexider;
  Drygas functional equation;
  quadratic;
  symmetric bi-additive function;
  additive function;
  semigroup;
  endomorphism
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/15881
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other