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首页> 外文期刊>Journal of Global Optimization >Optimality conditions for a unified vector optimization problem with not necessarily preordering relations
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Optimality conditions for a unified vector optimization problem with not necessarily preordering relations

机译：不一定具有预排序关系的统一矢量优化问题的最优性条件

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摘要

This paper studies a general vector optimization problem which encompasses those related to efficiency, weak efficiency, strict efficiency, proper efficiency and approximate efficiency among others involving non necessarily preordering relations. Based on existing results about complete characterization by scalarization of the solution set obtained by the same authors, several properties of (generalized) convexity and lower semicontinuity of the composition of the scalarizing functional and the objective vector function are studied. Finally, some optimality conditions are presented through subdifferentials in the convex and nonconvex case.
机译：本文研究了一个一般的向量优化问题，其中包括与效率，弱效率，严格效率，适当效率和近似效率有关的问题，其中包括不必要的前序关系。基于同一作者获得的关于通过对溶液集进行标量完全表征的现有结果，研究了（广义）凸度和标量泛函和目标向量函数的组成的下半连续性的几种性质。最后，通过凸和非凸情况下的次微分给出了一些最优性条件。

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