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Convergence of decreasing sequences of convex sets in non-reflexive Banach spaces

Borwein, Jonathan M. and Lewis, Adrian (1993) Convergence of decreasing sequences of convex sets in non-reflexive Banach spaces. Set-Valued Analysis, 4 . pp. 355-364. ISSN 0927-6947

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Abstract

We consider nested sequences of linear or convex closed sets of the form arising in estimation and other inverse problems. We show that such sequences may fail to converge in any of the recently studied set convergences other than Mosco convergence. We also provide a positive result concerning the epislice convergence of related sequences of functions.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 14 Jan 2015 12:00
Last Modified: 14 Jan 2015 12:00
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1551

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