Journal ArticleOPEN ACCESS

Distance to the intersection of two sets

Bulletin of the Australian Mathematical Society (2004) 70(2) 329-341
DOI: 10.1017/s0004972700034547
7Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.

Abstract

We give sufficient conditions so that the distance of a point to the intersection of two sets agrees with the maximum of the distances to each of them. The results are established in several settings: complete metric spaces, Banach spaces and spaces of subsets of Banach spaces.

Cite

CITATION STYLE

APA

Martinón, A. (2004). Distance to the intersection of two sets. Bulletin of the Australian Mathematical Society, 70(2), 329–341. https://doi.org/10.1017/s0004972700034547

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free