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Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps

Borwein, Jonathan M. and Zhuang, D. (1988) Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps. Journal of Mathematical Analysis and Applications, 134 . pp. 441-459.

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Abstract

We provide several equivalences to the regularity of closed set-valued maps around a point in general metric settings. In particular, an easy to verify approximate openness notion is shown equivalent to regularity. A simple specialization of our theorem strengthens Frankowska’s novel “open mapping principle.”

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 20 Feb 2015 16:20
Last Modified: 20 Feb 2015 16:20
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1594

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