ABSTRACT

The objective of the paper is to study essential stability in set optimization. Essential sets of efficient and weak efficient solution sets are introduced for a set optimization problem and essential sets are identified for both the solution sets. A characterization of essential sets is given for efficient solution sets. Finally, sufficient conditions are provided for the existence of essential sets in the image space.

中文翻译：

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集合优化的基本稳定性

摘要

本文的目的是研究集合优化中的本质稳定性。为集合优化问题引入了有效和弱有效解集的基本集，并为这两个解集确定了基本集。给出了有效解集的基本集特征。最后，为图像空间中本质集的存在提供了充分条件。