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Duality for nonsmooth mathematical programming problems with equilibrium constraints
Ist Teil von
Journal of inequalities and applications, 2016-01, Vol.2016 (1), p.1-15, Article 28
Ort / Verlag
Cham: Springer International Publishing
Erscheinungsjahr
2016
Link zum Volltext
Quelle
EZB-FREE-00999 freely available EZB journals
Beschreibungen/Notizen
In this paper, we consider the mathematical programs with equilibrium constraints (MPECs) in Banach space. The objective function and functions in the constraint part are assumed to be lower semicontinuous. We study the Wolfe-type dual problem for the MPEC under the convexity assumption. A Mond-Weir-type dual problem is also formulated and studied for the MPEC under convexity and generalized convexity assumptions. Conditions for weak duality theorems are given to relate the MPEC and two dual programs in Banach space, respectively. Also conditions for strong duality theorems are established in an Asplund space.