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Weak local supportability, generic Gateaux differentiability and applications to approximation in a weakly compactly generated space

Borwein, Jonathan M. (1979) Weak local supportability, generic Gateaux differentiability and applications to approximation in a weakly compactly generated space. Pacific J. Math., 82 . pp. 323-338.

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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 parti cular we prove that nearest points exist densely for closed relatively weakly compact sets in spaces with locally uni formly convex norms and provide a simplified proof in this framework that a normed space with a Fr6chet norm is an Asplund space.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 23 Feb 2015 14:32
Last Modified: 23 Feb 2015 14:32
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1661

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