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Distance to the intersection of two sets

Published online by Cambridge University Press:  17 April 2009

Antonio Martinón
Antonio Martinón
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna (Tenerife), Spain e-mail: anmarce@ull.es
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 329 - 341
Copyright
Copyright © Australian Mathematical Society 2004

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