About [q]-regularity properties of collections of sets

  • Alexander Y. Kruger
  • Nguyen H. Thao
    • Categories Nonsmooth Optimization Short URL: https://optimization-online.org/?p=12620

    We examine three primal space local Hoelder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as well as their quantitative characterizations. Equivalent metric characterizations of the three mentioned regularity properties as well as a sufficient condition of [q]-subregularity in terms of Frechet normals are established. The relationships between [q]-regularity properties of collections of sets and the corresponding regularity properties of set-valued mappings are discussed.

    Citation

    Journal of Mathematical Analysis and Applications. http://dx.doi.org/10.1016/j.jmaa.2014.02.028

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