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Directional
differentiability of the metric projection in Hilbert
space
Dominikus Noll |
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Vol. 170 (1995), No. 2, 567–592
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Abstract |
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The differentiability properties of the metric projection PC on a closed convex set C in Hilbert space are characterized in terms of the smoothness type of the boundary of C. Our approach is based on using variational type second derivatives as a sufficiently flexible tool to describe the boundary structure of the set C with regard to the differentiability of PC. We extend results by R. B. Holmes and S. Fitzpatrick and R. R. Phelps. |
Mathematical Subject Classification 2000
Primary: 46C05
Secondary: 46G05, 47H99, 49J52, 58C20
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Milestones
Received: 10 December 1992
Published: 1 October 1995
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Authors |
| Dominikus Noll | |
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