Directional and approximate efficiency in set optimization

Pub Date : 2023-11-29 DOI:10.1007/s00186-023-00840-1
Marius Durea, Elena-Andreea Florea
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Abstract

We investigate, in the framework of set optimization, some issues that are well studied in vectorial setting, that is, penalization procedures, properness of solutions and optimality conditions on primal spaces. Therefore, with this study we aim at completing the literature dedicated to set optimization with some results that have well established correspondence in the classical vector optimization.

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集合优化的定向和近似效率
在集合优化的框架下,我们研究了向量集合中已经得到很好研究的一些问题,即惩罚程序、解的适当性和原始空间上的最优性条件。因此,在本研究中,我们的目标是完成集优化的文献,其中一些结果在经典向量优化中已经建立了良好的对应关系。
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