向量优化问题ε-真有效解的一个性质

A Property of ε-Properly Efficient Solution in Vector Optimization

在次似凸性假设下,证明了ε-真有效解集的一个性质;提出了向量优化问题的ε-真有效解集为空的一个充分条件,并对最近一些文献中相应的结果进行了改进与推广.

In this paper, a property of the set of ε-properly efficient solution is proved in vector optimization under the supposition of subconvex likeness. The property provides a sufficient condition to guarantee the set of ε- properly efficient solution to be empty. The results improve and generalize some known results in recent literatures.