Duality and well behavior of nonconvex functions

  • Authors:

  • S. Guillaume

  • Affiliations:

  • Matre de Confrences, Département de Mathmatiques, Université d'Avignon, Avignon, France

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

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Abstract

This article is devoted to the study of optimization problems involving a convex composite function, that is, the composition of a convex function with a mapping. We introduce the definitions of conjugate functions and associated subdifferentials which suit this particular structure. We use these definitions to study the conditioning, well-posedness, and well behavior of such functions.