Abstract
Given a norm-one linear functional u$*$ on a normed linear space E we give necessary and sufficient conditions for the separation by u$*$ of a convex set C from B[x,$d_c$(x)] to imply the existence, or existence and 1..miqueness, of a nearest point in C to x.
Information
Published: 1 January 1988
First available in Project Euclid: 18 November 2014
zbMATH: 0673.41034
MathSciNet: MR1009595
Rights: Copyright © 1988, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
