On the solution of functional equations of Wilson's type on monoids
Let S be a monoid, C be the set of complex numbers, and let σ,τ ∈ Antihom(S,S) satisfy τ ○ τ =σ ○ σ= id. The aim of this paper is to describe the solution ⨍,g: S → C of the functional equation ʄ(xσ(y)) + ʄ(τ(y)x) = 2f(x)g(y), x, y ∈ S, in terms of multiplicative and additive functions.
Authors
- Samir Kabbaj (ORCID: https://orcid.org/0000-0001-9717-9366)
- Abdellatif Chahbi (ORCID: https://orcid.org/0000-0002-1312-5772)
- Iz‐iddine EL‐Fassi (ORCID: https://orcid.org/0000-0002-1790-6816)
Institutions
- Université Ibn-Tofail (MA)
Publication Details
- Journal
- Proyecciones (Antofagasta)
- Published
- 2025-04-16
- DOI
- https://doi.org/10.22199/issn.0717-6279-2540
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00