On affine selections of set-valued functions

Details On affine selections of set-valued functions On affine selections of set-valued functions

2008-07-25

arxiv.org/abs/0807.4157v1

J. Appl. Anal. 1 (1995), 173-179

Mathematics

Functional Analysis

A revised version of the manuscript, the references are actualized

Scientific paper

The main result states that every convex set-valued function defined on a
real interval with compact values in a locally convex space, admits an affine
selection. In the case if the target space is a real line and the values are
closed real intervals, we can replace the convexity assumption by the more
general condition.

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