Semicontinuity of vector-valued mappings

We first provide, for a given vector-valued mapping f, a lower semicontinuous (l.s.c.) regularization. Further, we present a new characterization of lower semicontinuity, from which we derive some other type of l.s.c. regularizations. A quasi-l.s.c. regularization is thereafter presented. †Dedicated...

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Bibliographic Details
Published in:Optimization 2007-02, Vol.56 (1-2), p.241-252
Main Authors: Mansour, M. Ait, Malivert, C., Théra, M.
Format: Article
Language:English
Subjects:
Lower semicontinuous regularization
Mapping
Mathematics Subject Classifications 2000: 26E25
Regularization methods
Studies
Vector space
Vector-valued mapping
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Summary:We first provide, for a given vector-valued mapping f, a lower semicontinuous (l.s.c.) regularization. Further, we present a new characterization of lower semicontinuity, from which we derive some other type of l.s.c. regularizations. A quasi-l.s.c. regularization is thereafter presented. †Dedicated to Diethard Pallaschke in celebration to his 65th birthday.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331930600808178