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

Title: Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
Creator: Borwein, J. M.; Zhuang, D. M.
Relation: Journal of Mathematical Analysis and Applications Vol. 134, Issue 2, p. 441-459
Publisher Link: http://dx.doi.org/10.1016/0022-247X(88)90034-0
Publisher: Academic Press
Resource Type: journal article
Date: 1988
Description: 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.”
Subject: set-valued maps; single-valued maps; simple specialization; regularity properties
Identifier: http://hdl.handle.net/1959.13/941064
Identifier: uon:13169
Identifier: ISSN:0022-247X
Language: eng
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