Abstract
In this paper, we introduce new versions of ϵ -dual problems of a vector quasi-equilibrium problem with set-valued maps, and we give an ϵ -duality result between approximate solutions of the primal and dual problems. As the first application of the main result, we obtain an ϵ -duality for a vector quasi-equilibrium problem whose ϵ -solutions are understood in the sense of proper efficiency. The second application is devoted to an ϵ -duality for a vector optimization problem with set-valued maps.
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