Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential
We prove that uniform second-order growth, tilt stability, and strong metric regularity of the subdifferential---three notions that have appeared in entirely different settings---are all essentially equivalent for any lower-semicontinuous, extended real-valued function. [PUBLICATION ABSTRACT]
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| Veröffentlicht in: | SIAM journal on optimization 2013-01, Vol.23 (1), p.256-267 |
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| container_title | SIAM journal on optimization |
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| creator | Drusvyatskiy, D Lewis, A S |
| description | We prove that uniform second-order growth, tilt stability, and strong metric regularity of the subdifferential---three notions that have appeared in entirely different settings---are all essentially equivalent for any lower-semicontinuous, extended real-valued function. [PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1137/120876551 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1052-6234 |
| ispartof | SIAM journal on optimization, 2013-01, Vol.23 (1), p.256-267 |
| issn | 1052-6234 1095-7189 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1323226924 |
| source | SIAM Journals Online |
| subjects | Algorithms Camber Convex analysis Equivalence Mathematical functions Neighborhoods Optimization Regularity Stability Tilt |
| title | Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential |
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