Displaying similar documents to “Concave iteration semigroups of linear continuous set-valued functions”

Concave iteration semigroups of linear set-valued functions

Jolanta Olko (1999)

Annales Polonici Mathematici

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We consider a concave iteration semigroup of linear continuous set-valued functions defined on a closed convex cone in a separable Banach space. We prove that such an iteration semigroup has a selection which is also an iteration semigroup of linear continuous functions. Moreover it is majorized by an "exponential" family of linear continuous set-valued functions.

Commutativity of set-valued cosine families

Andrzej Smajdor, Wilhelmina Smajdor (2014)

Open Mathematics

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Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. If F t: t ≥ 0 is a regular cosine family of continuous additive set-valued functions F t: K → cc(K) such that x ∈ F t(x) for t ≥ 0 and x ∈ K, then F t ∘ F s ( x ) = F s ∘ F t ( x ) f o r s , t ⩾ 0 a n d x ∈ K .

Existence for nonconvex integral inclusions via fixed points

Aurelian Cernea (2003)

Archivum Mathematicum

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We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by using an appropiate norm on the space of selections of the multifunction and a contraction principle for set-valued maps.

On Young's inequality.

Witkowski, Alfred (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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