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 in Constrained DC-Optimization via Toland’s Duality Approach”
Optimality conditions and Toland's duality for a nonconvex minimization problem.
Duality results involving functions associated to nonempty subsets of locally convex spaces.
C. Zalinescu (2009)
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Characterizations of ɛ-duality gap statements for constrained optimization problems
Horaţiu-Vasile Boncea, Sorin-Mihai Grad (2013)
Open Mathematics
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In this paper we present different regularity conditions that equivalently characterize various ɛ-duality gap statements (with ɛ ≥ 0) for constrained optimization problems and their Lagrange and Fenchel-Lagrange duals in separated locally convex spaces, respectively. These regularity conditions are formulated by using epigraphs and ɛ-subdifferentials. When ɛ = 0 we rediscover recent results on stable strong and total duality and zero duality gap from the literature.