| 局部凸空间中最佳逼近研究纵览 |
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| 引用本文： | Vasile Postolicǎ. 局部凸空间中最佳逼近研究纵览[J]. 应用泛函分析学报, 2005, 7(2): 151-167 |
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| 作者姓名： | Vasile Postolicǎ |
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| 作者单位： | 罗马尼亚科学院,Bacǎu州立大学,理学院数学系 |
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| 摘 要： | 通过对大量文献研究，回顾了最佳逼近论的研究进展．重点讨论了最有意义的可分离局部凸空间最佳逼近问题、以及最佳逼近问题与向量优化、Pareto有效性、多值函数等之间的直接联系．
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| 关 键 词： | 局部凸空间 最佳逼近 Pareto有效性 多值函数 |
| 文章编号： | 1009-1327（2005）02-0151-17 |
| 收稿时间： | 2004-12-26 |
| 修稿时间： | 2004-12-26 |
A Survey on the Best Approximation in Locally Convex Spaces |
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| Vasile Postolicǎ. A Survey on the Best Approximation in Locally Convex Spaces[J]. Acta Analysis Functionalis Applicata, 2005, 7(2): 151-167 |
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| Authors: | Vasile Postolicǎ |
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| Abstract: | As a part of the approximation theory and its applications in vector spaces, in this research paper the best approximation is reviewed. Special attention is given to the most significant best approximation problems in separated locally convex spaces and to their directly connections with the vector optimization very well represented in this way of study by the Pareto type efficiency and some important links to the multifunctions, starting from an original point of view concerning this matter in topological spaces and being based on adequate references. |
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| Keywords: | locally convex spaces best approx, imation Pareto efficiency multifunctions |
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