Duality in nonconvex vector optimization

Refail Kasimbeyli () and Masoud Karimi ()
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Refail Kasimbeyli: Eskisehir Technical University
Masoud Karimi: Mehrgan Niro Pouya Company

Journal of Global Optimization, 2021, vol. 80, issue 1, No 7, 139-160

Abstract: Abstract In this paper, duality relations in nonconvex vector optimization are studied. An augmented Lagrangian function associated with the primal problem is introduced and efficient solutions to the given vector optimization problem, are characterized in terms of saddle points of this Lagrangian. The dual problem to the given primal one, is constructed with the help of the augmented Lagrangian introduced and weak and strong duality theorems are proved. Illustrative examples for duality relations are provided.

Keywords: Vector optimization; Separation theorem; Duality; Augmented Lagrangian; Saddle point criterion; 46A22; 49N15; 90C26; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10898-021-01018-x

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