Convexity of Chebyshev Sets Through Differentiability of Distance Function
Functional Analysis
2011-08-03 v6
Abstract
In this paper, we study a part of approximation theory that presents the conditions under which a \Ceby\sev set in a Banach space is convex. To do so, we use Gateaux differentiability of the distance function.
Cite
@article{arxiv.0810.0587,
title = {Convexity of Chebyshev Sets Through Differentiability of Distance Function},
author = {A. Assadi and H. Haghshenas and H. Hosseini Guive},
journal= {arXiv preprint arXiv:0810.0587},
year = {2011}
}
Comments
5 pages