Title of article
Proximal smoothness of a set with the Lipschitz metric projection
Author/Authors
Balashov، نويسنده , , Maxim V.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
4
From page
360
To page
363
Abstract
It is known that if a closed subset of a uniformly convex and uniformly smooth Banach space has a Lipschitz continuous metric projection in some neighborhood then this set is proximally smooth. We obtain an estimate for the constant of proximal smoothness of such set. The obtained estimate is precise in the Hilbert space.
Keywords
Hilbert space , Distance function , Metric projection , Proximal smoothness , Supporting condition
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563790
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