| 集值映象的图象拓扑与不动点的通有稳定性 |
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| 引用本文： | 向淑文,杨辉.集值映象的图象拓扑与不动点的通有稳定性[J].应用数学学报,2001,24(2):221-226. |
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| 作者姓名： | 向淑文 杨辉 |
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| 作者单位： | 贵州大学数学系, |
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| 基金项目： | 国家自然科学基金(19771024号)和贵州大学博士研究基金资助项目. |
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| 摘 要： | 本文进一步研究了上半连续集值映象不动点的稳定性问题,在集值映象的图象拓扑的意义下,我们证明了不动点的通有稳定性,也就是说,在Baire分类的意义下,绝大多数的映象具有本质不动点.
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| 关 键 词： | 上半连续集值映象 通有稳定性 本质不动点 |
| 修稿时间： | 1998年10月15 |
THE GRAPH TOPOLOGY OF SET-VALUED MAPPINGS AND THE GENERIC STABILITY OF FIXED POINTS |
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| XIANG SHUWEN,YANG HUI.THE GRAPH TOPOLOGY OF SET-VALUED MAPPINGS AND THE GENERIC STABILITY OF FIXED POINTS[J].Acta Mathematicae Applicatae Sinica,2001,24(2):221-226. |
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| Authors: | XIANG SHUWEN YANG HUI |
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| Abstract: | In this paper, we have given a further study for the stability of fixed points. We have proved that the sets of fixed points of set-valued mappings have generic stability with respect to the graph topology, i.e., in the sense of Baire category, for most mappings all their fixed points are essential. |
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| Keywords: | Semi-continuous set-Valued mapping generic stability essential fixed point |
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