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Optimality Conditions for Approximate Pareto Minimality
Numerical Functional Analysis and Optimization ( IF 1.4 ) Pub Date : 2020-02-14 , DOI: 10.1080/01630563.2019.1708391
Marius Durea 1, 2
Affiliation  

Abstract In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in literature for the situation of standard vector efficiency. The approach we propose here allows us, on one hand, to extend some known results, and, on the other hand, to emphasize some numerical aspects that could be of certain importance for scientific computation of approximate minima.

中文翻译:

近似帕累托最小值的最优条件

摘要 在本文中,我们将先前在文献中针对标准向量效率情况开发的一些技术应用于具有集值映射的向量优化问题的近似最小化器的情况。我们在这里提出的方法一方面允许我们扩展一些已知的结果,另一方面允许我们强调一些对近似最小值的科学计算可能具有一定重要性的数值方面。
更新日期:2020-02-14
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