Distance to the intersection of two sets
- 1 October 2004
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 70 (2), 329-341
- https://doi.org/10.1017/s0004972700034547
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.Keywords
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