Concave iteration semigroups of linear set-valued functions
Annales Polonici Mathematici, Tome 71 (1999) no. 1, pp. 31-38.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-71-1-31-38
Keywords: linear set-valued function, concave set-valued function, iteration semigroup

Jolanta Olko 1

1
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Jolanta Olko. Concave iteration semigroups of linear set-valued functions. Annales Polonici Mathematici, Tome 71 (1999) no. 1, pp. 31-38. doi : 10.4064/ap-71-1-31-38. http://geodesic.mathdoc.fr/articles/10.4064/ap-71-1-31-38/

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