In this paper, we analyse the relationships between conic and vector separation of two sets. Applying such results in the Image Space associated with a vector optimization problem, we show that the existence of a particular instance of vector separation is equivalent to the existence of a vector saddle point for the Lagrangian function associated with the vector optimization problem.
Conic separation for vector optimization problems
PELLEGRINI, Letizia
2011-01-01
Abstract
In this paper, we analyse the relationships between conic and vector separation of two sets. Applying such results in the Image Space associated with a vector optimization problem, we show that the existence of a particular instance of vector separation is equivalent to the existence of a vector saddle point for the Lagrangian function associated with the vector optimization problem.
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