New global optimality conditions for nonsmooth DC optimization problems
M. V. Dolgopolik
Abstract:In this article we propose a new approach to the analysis of DC optimization problems. This approach was largely inspired by codifferential calculus and the method of codifferential descent, and is based on the use of a so-called affine support set of a convex function instead of the Frenchel conjugate function. With the use of affine support sets we define a global codifferential mapping of a DC function, and derive new necessary and sufficient global optimality conditions for DC optimization problems. We als… Show more
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