Hukuhara's Derivative and Concave Iteration Semigroups of Linear Set-Valued Functions
نویسندگان
چکیده
منابع مشابه
Hukuhara’s Derivative and Concave Iteration Semigroups of Linear Set-valued Functions
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 {F t : t ≥ 0} is a concave iteration semigroup of continuous linear set-valued functions F t : K → cc(K) with F (x) = {x} for x ∈ K, then DtF (x) = F (G(x)) for x ∈ K and t ≥ 0, where DtF (x) denotes the Hukuhara derivative of F (x) with res...
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ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 2002
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.2002.297