The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem. By using a method different from the existing literature we establish an upper estimate and explicit expression for the coderivatives of an efficient point set-valued map where the independent variable can take values in the whole space. As an application, we give some characterizations on the Aubin property of an efficient point map and an explicit expression of the coderivative for an efficient solution map. We provide several examples illustrating the main results.

中文翻译：

---

参数向量优化中有效点和有效解集值映射的代数导数和Aubin性质

本文的目的是在参数向量优化问题中计算有效点和有效解集值映射的代数。通过使用不同于现有文献的方法，我们为有效点集值映射的代码导数建立了一个上估计和显式，其中自变量可以在整个空间中取值。作为应用程序，我们对有效点图的Aubin属性以及有效解图的代码衍生物的明确表示进行了一些表征。我们提供了一些示例来说明主要结果。