Well-posedness for Lexicographic Vector Equilibrium Problems

  • L. Q. Anh
  • Alexander Y. Kruger
  • T. Q. Duy
  • Nguyen H. Thao
    • Categories Multi-Criteria Optimization, Nonsmooth Optimization Tags , , Short URL: https://optimization-online.org/?p=12286

    We consider lexicographic vector equilibrium problems in metric spaces. Sufficient conditions for a family of such problems to be (uniquely) well-posed at the reference point are established. As an application, we derive several results on well-posedness for a class of variational inequalities.

    Citation

    Published in Constructive Nonsmooth Analysis and Related Topics (Vladimir Demyanov, Panos M. Pardalos, and Mikhail Batsyn, eds.) Springer Optimization and Its Applications, Vol. 87. Springer-Verlag, Berlin, 2014, 157-172

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