The global weak sharp minima with explicit exponents in polynomial vector optimization problems

  • Tiên-So'n Pham
  • Xuan Duc Ha Truong
  • Jen-Chih Yao
    • Categories Convex and Nonsmooth Optimization, Multi-Criteria Optimization Tags , , Short URL: https://optimization-online.org/?p=13097

    In this paper we discuss the global weak sharp minima property for vector optimization problems with polynomial data. Exploiting the imposed polynomial structure together with tools of variational analysis and a quantitative version of \L ojasiewicz’s gradient inequality due to D’Acunto and Kurdyka, we establish the H\”older type global weak sharp minima with explicitly calculated exponents.

    Citation

    Positivity (2017) online first doi:10.1007/s11117-017-0509-6