ArticleOriginal scientific text
Title
Concave iteration semigroups of linear set-valued functions
Authors 1
Affiliations
- Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland
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.
Keywords
linear set-valued function, concave set-valued function, iteration semigroup
Bibliography
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Pages:
31-38
Main language of publication
English
Received
1998-02-12
Accepted
1998-10-07
Published
1999
Exact and natural sciences