Concave iteration semigroups of linear set-valued functions
Volume 71 / 1999
Annales Polonici Mathematici 71 (1999), 31-38
DOI: 10.4064/ap-71-1-31-38
Abstract
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.
