Some properties of set-valued sine families

• Autorzy: Mainka-Niemczyk E.
• Języki publikacji: EN

Abstrakty

EN

Let {Ft : t ≥ 0} be a family of continuous additive set-valued functions defined on a convex cone K in a normed linear space X with nonempty convex compact values in X. It is shown that (under some assumptions) a regular sine family associated with {Ft : t ≥ 0} is continuous {Ft : t ≥ 0} is a continuous cosine family.

Słowa kluczowe

EN

set-valued sine and cosine families; continuity of sine families; Hukuhara differences; concave set-valued functions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 1
• Strony: 159--170
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Mainka-Niemczyk E.

• Silesian University of Technology Institute of Mathematics Kaszubska 23, 44-100 Gliwice, Poland,

Bibliografia

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