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.

中文翻译：

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非凸向量优化中的对偶

本文研究了非凸向量优化中的对偶关系。引入了与原始问题相关的增强拉格朗日函数，并根据该拉格朗日的鞍点来表征给定向量优化问题的有效解。给定的原始对偶问题是在引入的增强拉格朗日函数的帮助下构造的，并证明了弱对偶对偶定理。提供了对偶关系的说明性示例。