New Pexiderizations of Drygas’ Functional Equation on Abelian Semigroups
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 equations f(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,\matrix{ {f\left(...
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| Principais autores: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado: |
Sciendo
2023-09-01
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| Series: | Annales Mathematicae Silesianae |
| Assuntos: | |
| Acceso en liña: | https://doi.org/10.2478/amsil-2023-0015 |
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