Hukuhara`s derivative and concave iteration semigroups of linear set-valued functions

• Autorzy: Smajdor A.
• Języki publikacji: EN

Abstrakty

EN

Let K be a closed convex cone with the nonempty interior in a real Banach space and cc(K) denote the family of all nonempty convex compact subsets of K. If {Ff : t ≥ 0} is a concave iteration semigroup of continuous linear set-valued functions Ft : K → cc(K) with F°(x) = {x} for x ∈ K, then DtFt(x) = Ft (G(x)) for x ∈ K and t ≥ 0, where DtFt(x) denotes the Hukuhara derivative of Ft(x) with respect to t and (wzór) for x ∈ K.

Słowa kluczowe

EN

linear set- valued functions; iterations; Hukuhara's derivative

PL

liniowy zbiór wartości funkcji; iteracja; pochodne Hukuhara

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2002
• Tom: Vol. 8, nr 2
• Strony: 297--305
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Smajdor A.

• Pedagogical University Podchorążych 2 30-084 Kraków Poland

Bibliografia

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