| 度量射影的连续选择 |
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| 引用本文： | 宋文华. 度量射影的连续选择[J]. 数学研究及应用, 2002, 22(2): 197-204 |
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| 作者姓名： | 宋文华 |
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| 作者单位： | 河北经贸大学应用数学所,河北,石家庄,050091 |
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| 基金项目： | Supported by the Natural Science Foundation of Hebei |
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| 摘 要： | 本文讨论了集值映射的弱连续选择并应用于度量射影．设Y是Banach空间X的子空间且Y是可分的,在相差一个第一纲集的情况下,于弱拓扑下,支撑于Y上的度量射影是下半连续的并有连续选择．
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| 关 键 词： | 度量射影 连续选择 集值映射 Banach空 弱拓扑 下半连续 |
| 收稿时间： | 2000-10-24 |
The Continuous Selections for the Metric Projection |
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| SONG Wen-hua. The Continuous Selections for the Metric Projection[J]. Journal of Mathematical Research with Applications, 2002, 22(2): 197-204 |
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| Authors: | SONG Wen-hua |
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| Affiliation: | Inst. of Appl. Math.; Hebei University of Economics and Trade; Shijiazhuang; China |
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| Abstract: | Some results concerning weakly continuous selection for set-valued mappingare given and, applied to metric projection. Let Y be a subspace of a Banach space X.If Y is a separable reflexive Banach space,reinoved a first category subset, the metricprojection is weakly lower semicontinnous and admits a weakly continuous selection. |
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| Keywords: | continuous selection metric projection weakly continuous |
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