Duality and Well Behavior of Nonconvex Functions

S. Guillaume
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S. Guillaume: Université d'Avignon

Journal of Optimization Theory and Applications, 2002, vol. 114, issue 3, No 2, 507-543

Abstract: 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.

Keywords: asymptotical behavior; conditioning; conjugate functionals; convex composite functions; well-posedness (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1016018911762

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