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

  • Dmitriy Drusvyatskiy
  • Adrian Lewis
    • Categories Convex Optimization, Nonsmooth Optimization Tags , , , , , Short URL: https://optimization-online.org/?p=12022

    We prove that uniform second order growth, tilt stability, and strong metric regularity of the 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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    Cornell University, School of Operations Research and Information Engineering, 206 Rhodes Hall Cornell University Ithaca, NY 14853. May 2012.

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