Vol. 82, No. 2, 1979

Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Weak local supportability and applications to approximation

Jonathan Borwein

Vol. 82 (1979), No. 2, 323–338
Abstract

Perturbed optimization problems are studied using a weaker notion of local supportability than that developed by Ekeland and Lebourg. This weakening allows for a more comprehensive treatment of such problems. In particular we prove that nearest points exist densely for closed relatively weakly compact sets in spaces with locally uniformly convex norms and provide a simplified proof in this framework that a normed space with a Fréchet norm is an Asplund space.

Mathematical Subject Classification 2000
Primary: 46B99
Secondary: 41A25, 58C20, 90C30, 49A27
Milestones
Received: 30 March 1978
Published: 1 June 1979
Authors
Jonathan Borwein
Faculty of Computer Science
Dalhousie University
6050 University Avenue
Halifax NS B3H 1W5
Canada
http://carma.newcastle.edu.au/jon/