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

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

2012-04-25

arxiv.org/abs/1204.5794v1

Mathematics

Optimization and Control

12 pages

Scientific paper

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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