ABSTRACT Using relative minimality solutions for vector optimization problems, we establish optimality conditions in terms of Karush–Kuhn–Tucker multipliers as well as Fritz-John multipliers. Moreover, we give a general separation theorem including both finite and infinite classical separation theorem.

中文翻译：

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无限维向量优化和分离定理

摘要 使用向量优化问题的相对极小解，我们根据 Karush-Kuhn-Tucker 乘子以及 Fritz-John 乘子建立了最优条件。此外，我们给出了一个包括有限和无限经典分离定理的一般分离定理。