A variant of the quadratic functional equation on semigroups

  • B. Fadli IBN Tofail University.
  • D. Zeglami Moulay ISMAIL University.
  • S. Kabbaj IBN Tofail University.

Resumen

Let S be a semigroup, let H be an abelian group which is uniquely 2-divisible, and let σ be an involutive automorphism of S. We express the solutions f : S → H of the following variant of the quadratic functional equation f(xy) + f(σ(y)x) = 2f(x) + 2f(y), x, y ∈ S, in terms of bi-additive maps and solutions of the symmetrized additive Cauchy equation.

Biografía del autor

B. Fadli, IBN Tofail University.
Department of Mathematics, Faculty of Sciences.
D. Zeglami, Moulay ISMAIL University.
Department of Mathematics, E. N. S. A. M. 
S. Kabbaj, IBN Tofail University.
Department of Mathematics, Faculty of Sciences. 

Citas

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Publicado
2018-03-15
Cómo citar
Fadli, B., Zeglami, D., & Kabbaj, S. (2018). A variant of the quadratic functional equation on semigroups. Proyecciones. Journal of Mathematics, 37(1), 45-55. Recuperado a partir de http://www.revistaproyecciones.cl/article/view/2779
Sección
Artículos