A variant of Jensen’s functional equation on semigroups

• Autorzy: Fadli B. , Zeglami D. , Kabbaj S.
• Języki publikacji: EN

Abstrakty

EN

We determine the solutions f : S → H of the following functional equation f(xy) + f(σ(y)x) = 2f(x), x,y∈S, and the solutions f1, f2, f3 : M → H of the functional equation f1(xy) + f2(σ(y)x) = 2f3(x), x,y∈M, where S is a semigroup, M is a monoid, H is an abelian group 2-torsion free, and σ is an involutive automorphism.

Słowa kluczowe

EN

Jensen equation; Pexider type equation; monoid; additive function

PL

równanie Jensena; równania typu Pexidera; monoid; funkcja addytywna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2016
• Tom: Vol. 49, nr 4
• Strony: 414--420
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Fadli B.

• Department of Mathematics, Faculty of Sciences, IBN Tofail University BP: 14000. Kenitra, Morocco

autor

Zeglami D.

• Department of Mathematics E.N.S.A.M, Moulay Ismail University B.P : 15290 Al Mansour, Meknes, Morocco

autor

Kabbaj S.

• Department of Mathematics, Faculty of Sciences, IBN Tofail University BP: 14000. Kenitra, Morocco

Bibliografia

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• [12] H. Stetkær, Functional equations on abelian groups with involution, Aequationes Math. 54 (1997), 144–172.
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• [15] H. Stetkær, Functional Equations on Groups, World Scientific Publishing Co, Singapore, 2013.
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.