Duality principles for optimization problems dealing with the difference of vector-valued convex mappings

  • Authors:
  • M. Volle

  • Affiliations:
  • Professor, Department of Mathematics, University of Avignon, Avignon, France

  • Venue:
  • Journal of Optimization Theory and Applications
  • Year:
  • 2002

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Abstract

Using the concept of a subdifferential of a vector-valued convex mapping, we provide duality formulas for the minimization of nonconvex composite functions and related optimization problems such as the minimization of a convex function over a vectorial DC constraint.