Document Type

Pre-Print

Publication Date

8-2015

Subjects

Metric projections, Directional derivatives

Abstract

A remarkable example of a nonempty closed convex set in the Euclidean plane for which the directional derivative of the metric projection mapping fails to exist was constructed by A. Shapiro. In this paper, we revisit and modify that construction to obtain a convex set with smooth boundary which possesses the same property.

Description

This is the pre-print of an article submitted for consideration to Optimization Letters. Copyright (2015) SpringerLink and can be found online at: http://dx.doi.org/10.1007/s11590-015-0847-x

DOI

10.1007/s11590-015-0847-x

Persistent Identifier

http://archives.pdx.edu/ds/psu/17507

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