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 limiting subdifferential --- three notions that have appeared in entirely different settings --- are all essentially equivalent for any lower-semicontinuous, extended-real-valued function. 
Dmitriy Drusvyatskiy, Adrian S. Lewis
math.OC