Displaying similar documents to “Characterizations of ɛ-duality gap statements for constrained optimization problems”

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.

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)....