Abstract Boundedness and the Stability of the Pexider Equation

• Autorzy: Ger R.
• Konferencja: X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
• Języki publikacji: EN

Abstrakty

EN

Let (S, +) be a semigroup (not necessarily Abelian) and let (X,+) be a commutative group. We deal with an axiomatically given family B ⸦ 2^x of "bounded sets" and with mappings f, g, h : S → X such that the transformation S x S ∋ (x, y) → f (x + y) - g (x) - h (y) ∈ X remains B-bounded. Stability results existing in the literature in connection with the Pexider functional equation become special cases of our theorems up to the magnitude of approximating constants.

Słowa kluczowe

EN

Pexider equations; stability; bounded sets

PL

równania Pexidera; stabilność; zbiór ograniczony

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2003
• Tom: Vol. 9
• Strony: 41--49
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Ger R.

• Institute of Mathematics and Computer Science, Pedagogical University of Częstochowa, al. Armii Krajowej 13/15, 42-201 Częstochowa, Poland

Bibliografia

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