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Duality in Constrained DC-Optimization via Toland’s Duality Approach

Laghdir, M.Benkenza, N. — 2003

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 90C48, 49N15, 90C25 In this paper we reconsider a nonconvex duality theory established by B. Lemaire and M. Volle (see [4]), related to a primal problem of minimizing the difference of two convex functions subject to a DC-constraint. The purpose of this note is to present a new method based on Toland-Singer duality principle. Applications to the case when the constraints are vector-valued are provided.

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