| 向量优化中改进集的一些拓扑性质 |
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| 引用本文： | 夏远梅,林安,赵克全. 向量优化中改进集的一些拓扑性质[J]. 纯粹数学与应用数学, 2014, 0(6): 604-609 |
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| 作者姓名： | 夏远梅 林安 赵克全 |
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| 作者单位： | 重庆师范大学数学学院,重庆,401331 |
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| 摘 要： | 主要研究改进集的一些拓扑运算性质。首先在改进集条件下给出了拓扑向量空间中两个非空集之和的拓扑内部的一些运算性质。进一步，利用改进集获得了 Flores-Baz′an 和 Hern′andez 提出的假定 B 的一个加强形式。此外，给出了一些例子对主要结果进行了解释。
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| 关 键 词： | 改进集 假定B 拓扑性质 向量优化 |
Some topological properties of improvement sets in vector optimization |
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| Xia Yuanmei,Lin An,Zhao Kequan. Some topological properties of improvement sets in vector optimization[J]. Pure and Applied Mathematics, 2014, 0(6): 604-609 |
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| Authors: | Xia Yuanmei Lin An Zhao Kequan |
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| Affiliation: | (College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China) |
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| Abstract: | In this paper, topological operational properties of improvement sets are studied. Some operational characterizations of topological interior of sum for two nonempty sets are presented by using improvement sets in topological vector space. Furthermore, a strong version of Assumption B proposed by Flores-Baz′an and Hern′andez is obtained by improvement sets. Moreover, some examples are given to illustrate our main results. |
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| Keywords: | improvement sets assumption B topological properties vector optimization |
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