Duality in Constrained DC-Optimization via Toland’s Duality Approach
Serdica Mathematical Journal, Tome 29 (2003) no. 2, pp. 167-176
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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.
Keywords:
Conjugate, Difference Convex, Toland-Singer Duality, DC-Constraint
@article{SMJ2_2003_29_2_a5,
author = {Laghdir, M. and Benkenza, N.},
title = {Duality in {Constrained} {DC-Optimization} via {Toland{\textquoteright}s} {Duality} {Approach}},
journal = {Serdica Mathematical Journal},
pages = {167--176},
year = {2003},
volume = {29},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2003_29_2_a5/}
}
Laghdir, M.; Benkenza, N. Duality in Constrained DC-Optimization via Toland’s Duality Approach. Serdica Mathematical Journal, Tome 29 (2003) no. 2, pp. 167-176. http://geodesic.mathdoc.fr/item/SMJ2_2003_29_2_a5/