Optimality conditions and Toland's duality for a nonconvex minimization problem.
Laghdir, M. (2003)
Matematichki Vesnik
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Displaying similar documents to “Duality for the level sum of quasiconvex functions and applications”
Optimality conditions and Toland's duality for a nonconvex minimization problem.
Epigraphical analysis
H. Attouch, R. J.-B. Wets (1989)
Annales de l'I.H.P. Analyse non linéaire
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Duality in Constrained DC-Optimization via Toland’s Duality Approach
Laghdir, M., Benkenza, N. (2003)
Serdica Mathematical Journal
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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.
Generalized -quasivariational inequality.
Nessah, Rabia, Larbani, Moussa (2005)
International Journal of Mathematics and Mathematical Sciences
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Duality results involving functions associated to nonempty subsets of locally convex spaces.
C. Zalinescu (2009)
RACSAM
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Existence of solutions to the system of generalized implicit vector quasivariational inequality problems.
Lin, Zhi (2009)
Journal of Inequalities and Applications [electronic only]
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Lower semicontinuity of L∞ functionals
E. N. Barron, R. R. Jensen, C. Y. Wang (2001)
Annales de l'I.H.P. Analyse non linéaire
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On the quasiconvex exposed points
Kewei Zhang (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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The notion of quasiconvex exposed points is introduced for compact sets of matrices, motivated from the variational approach to material microstructures. We apply the notion to give geometric descriptions of the quasiconvex extreme points for a compact set. A weak version of Straszewicz type density theorem in convex analysis is established for quasiconvex extreme points. Some examples are examined by using known explicit quasiconvex functions.