| 正规结构与集值映射的不动点 |
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| 引用本文： | 陈述涛,王明珠.正规结构与集值映射的不动点[J].哈尔滨师范大学自然科学学报,1994,10(1):1-3. |
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| 作者姓名： | 陈述涛 王明珠 |
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| 作者单位： | 哈尔滨师范大学
(陈述涛)，哈尔滨师范大学(王明珠) |
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| 摘 要： | 1974年,Lim给出了一致凸Banach空间上非扩张集值映射的不动点定理,同时提出问题:该定理在有正规结构的Banach空间中是否成立? 1989年,断言解决了这一问题。然而一年之后,用反例说明,的证明有本质错误。本文证明:在适当的条件下,该问题的答案是肯定的。
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| 关 键 词： | 正规结构 集值映象 不动点 |
A FIXED POINT THEOREM FOR SET-VALUTED MAPPINGS CONCERNING NORMAL STRUCTURE |
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| Chen Shutao Wang Mingzhu,Harbin Normal University.A FIXED POINT THEOREM FOR SET-VALUTED MAPPINGS CONCERNING NORMAL STRUCTURE[J].Natural Science Journal of Harbin Normal University,1994,10(1):1-3. |
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| Authors: | Chen Shutao Wang Mingzhu Harbin Normal University |
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| Institution: | Chen Shutao Wang Mingzhu
Harbin Normal University |
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| Abstract: | In 1974, Lim proved a fixed point theorem for set-valued mappings on uniformly convex Banach spaces and asked if the assertion held for Banach spaces with normal structure. In 1989, Xie Jipei annouced that the answer was positive. But unfortunately, his proof was incorrect. In this paper, we show that under some condition, the answer is positive. |
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| Keywords: | Nonexpansive set-valued mapping Normal structure Quasivanable |
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