Semigroups of Jensen set-valued functions |
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Authors: | Andrzej Smajdor |
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Affiliation: | 1. Pedagogical University, Podchor?zych 2, PL-30-084, Kraków, Poland
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Abstract: | A set-valued function F defined on a convex cone S in a real vector space X into the set n(Y) of all non-empty subsets of a real vector space Y is said to be the Jensen function iff $${1over 2}lbrack F(x)+F(x)rbrack=Flbrack{1over 2}(x+y)rbrack$$ for all x, y ∈ S. This note deals with iteration semigroups of Jensen set-valued functions on S. |
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