The aim of this paper is to study, starting from a separation scheme, some aspects of Lagrangian duality for vector constrained extremum problems. In particular, the image space approach and separation argument are exploited to derive a duality theorem. A class of nonconvex problems fulfilling the assumptions of such a theorem is outlined. The theorem is compared with similar results available in literature.
On Lagrangian Duality in Vector Optimization
Letizia Pellegrini
2020-01-01
Abstract
The aim of this paper is to study, starting from a separation scheme, some aspects of Lagrangian duality for vector constrained extremum problems. In particular, the image space approach and separation argument are exploited to derive a duality theorem. A class of nonconvex problems fulfilling the assumptions of such a theorem is outlined. The theorem is compared with similar results available in literature.
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