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.
New Farkas-type constraint qualifications in convex infinite programming
Nguyen Dinh, Miguel A. Goberna, Marco A. López, Ta Quang Son (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper provides KKT and saddle point optimality conditions, duality theorems and stability theorems for consistent convex optimization problems posed in locally convex topological vector spaces. The feasible sets of these optimization problems are formed by those elements of a given closed convex set which satisfy a (possibly infinite) convex system. Moreover, all the involved functions are assumed to be convex, lower semicontinuous and proper (but not necessarily real-valued)....