Borwein, Jonathan M. and Giladi, Ohad (2015) *Nearest points and delta convex functions.* Bulletin of the Australian Mathematical Society .

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## Abstract

Given a closed set C in a Banach space (X,k · k), a point x ∈ X is said to have a nearest point in C if there exists z ∈ C such that dC(x) = kx − zk, where dC is the distance of x from C. We shortly survey the problem of studying the size of the set of points in X which have nearest points in C. We then turn to the topic of delta-convex functions and indicate how it is related to finding nearest points.

Item Type: | Article |
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Subjects: | UNSPECIFIED |

Faculty: | UNSPECIFIED |

Depositing User: | Mrs Naghmana Tehseen |

Date Deposited: | 05 Sep 2016 21:03 |

Last Modified: | 05 Sep 2016 21:03 |

URI: | https://docserver.carma.newcastle.edu.au/id/eprint/1742 |

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