Convexity of Chebyshev Sets Through Differentiability of Distance Function

Details Convexity of Chebyshev Sets Through Differentiability of Distance Function Convexity of Chebyshev Sets Through Differentiability of Distance Function

2008-10-03

arxiv.org/abs/0810.0587v6

Mathematics

Functional Analysis

5 pages

Scientific paper

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.

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