On affine selections of set-valued functions
Functional Analysis
2008-07-28 v1
Abstract
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.
Cite
@article{arxiv.0807.4157,
title = {On affine selections of set-valued functions},
author = {Szymon Wasowicz},
journal= {arXiv preprint arXiv:0807.4157},
year = {2008}
}
Comments
A revised version of the manuscript, the references are actualized