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Second-order growth, tilt stability, and metric regularity of the subdifferential
D. Drusvyatskiy(dd379 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). Keywords: variational analysis, quadratic growth, first-order and second-order generalized differentiation, metric regularity and subregularity, prox-regular functions, tilt stability in optimization Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization ) Citation: 23 pages, April 2013 Download: [PDF] Entry Submitted: 04/27/2013 Modify/Update this entry | ||
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