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arXiv · 1204.5794

Tilt stability, uniform quadratic growth, and strong metric regularity of the subdifferential

Dmitriy Drusvyatskiy·Adrian S. Lewis
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Abstract

We prove that uniform second order growth, tilt stability, and strong metric regularity of the limiting subdifferential --- three notions that have appeared in entirely different settings --- are all essentially equivalent for any lower-semicontinuous, extended-real-valued function.

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Dmitriy Drusvyatskiy, Adrian S. Lewis. 2012-04-25. Tilt stability, uniform quadratic growth, and strong metric regularity of the subdifferential. https://arxiv.org/abs/1204.5794

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