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

Laghdir, M.; Benkenza, N.

Serdica Mathematical Journal (2003)

  • Volume: 29, Issue: 2, page 167-176
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 90C48, 49N15, 90C25In 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.

How to cite

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Laghdir, M., and Benkenza, N.. "Duality in Constrained DC-Optimization via Toland’s Duality Approach." Serdica Mathematical Journal 29.2 (2003): 167-176. <http://eudml.org/doc/219526>.

@article{Laghdir2003,
abstract = {2000 Mathematics Subject Classification: 90C48, 49N15, 90C25In 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.},
author = {Laghdir, M., Benkenza, N.},
journal = {Serdica Mathematical Journal},
keywords = {Conjugate; Difference Convex; Toland-Singer Duality; DC-Constraint; nonconvex duality; dc-constraint},
language = {eng},
number = {2},
pages = {167-176},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Duality in Constrained DC-Optimization via Toland’s Duality Approach},
url = {http://eudml.org/doc/219526},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Laghdir, M.
AU - Benkenza, N.
TI - Duality in Constrained DC-Optimization via Toland’s Duality Approach
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 2
SP - 167
EP - 176
AB - 2000 Mathematics Subject Classification: 90C48, 49N15, 90C25In 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.
LA - eng
KW - Conjugate; Difference Convex; Toland-Singer Duality; DC-Constraint; nonconvex duality; dc-constraint
UR - http://eudml.org/doc/219526
ER -

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