向量优化中改进集的一些拓扑性质

The topological properties of improvement set in vector optimization

研究了改进集的拓扑闭包的一些性质,提出了它的一些等价刻画,对一些已有结果作了改进和推广.通过一些具体例子对主要结果进行了说明.

In this paper ,some properties of topological closure of improvement sets are studied and some equivalent characterizations of that sets are proposed .These results generalize some known results in the literatures .Further-more ,some examples are given to explain the main results .