Concave iteration semigroups of linear set-valued functions
Annales Polonici Mathematici, Tome 71 (1999) no. 1, pp. 31-38
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.
Keywords:
linear set-valued function, concave set-valued function, iteration semigroup
@article{10_4064_ap_71_1_31_38,
author = {Jolanta Olko},
title = {Concave iteration semigroups of linear set-valued functions},
journal = {Annales Polonici Mathematici},
pages = {31--38},
year = {1999},
volume = {71},
number = {1},
doi = {10.4064/ap-71-1-31-38},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-71-1-31-38/}
}
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
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