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arXiv · 1304.7385

Second-order growth, tilt stability, and metric regularity of the subdifferential

D. Drusvyatskiy·B. S. Mordukhovich·T. T. A. Nghia
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Abstract

This paper sheds new light on several interrelated topics of second-order variational analysis, both in finite and infinite-dimensional settings. We establish new relationships between second-order growth conditions on functions, the basic properties of metric regularity and subregularity of the limiting subdifferential, tilt-stability of local minimizers, and positive-definiteness/semidefiniteness properties of the second-order subdifferential (or generalized Hessian).

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D. Drusvyatskiy, B. S. Mordukhovich, T. T. A. Nghia. 2013-04-27. Second-order growth, tilt stability, and metric regularity of the subdifferential. https://arxiv.org/abs/1304.7385

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