| Sobolev空间中集值映射不动点的连续选择(Ⅱ)——不动点连续选择 |
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| 引用本文： | 孙广毅.Sobolev空间中集值映射不动点的连续选择(Ⅱ)——不动点连续选择[J].哈尔滨工程大学学报,2002,23(2):97-100. |
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| 作者姓名： | 孙广毅 |
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| 作者单位： | 哈尔滨工程大学,数学系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 在Sobolev空间中讨论了压缩型具有闭可分解值含参值含参集值映射不动点的连续选择的存在性问题，建立了类似于Michael的连续选择定理，证明了任意两个连续选择可以同伦连接，构造了Sobolev空间中一类绝对收缩集。
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| 关 键 词： | 集值映射 可分解 不动点 连续选择 |
| 文章编号： | 1006-7043(2002)02-0097-04 |
Continuous Selections of Fixed Point of Set-valued Map in Sobolev Space (Ⅱ)--Continuous Selections of Fixed Points |
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| SUN Guang_yi.Continuous Selections of Fixed Point of Set-valued Map in Sobolev Space (Ⅱ)--Continuous Selections of Fixed Points[J].Journal of Harbin Engineering University,2002,23(2):97-100. |
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| Authors: | SUN Guang_yi |
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| Abstract: | We discusses the existence of continuous selections of fixed points for contractive set_valued mappings in Sobolev space, establishes a continuous selection theorem similar to Michael's,and proves that any two continuous selections can be joined by a homotopy, and constructs a class of absolute contractive sets in Sobolev space. |
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| Keywords: | set_valued map decomposable fixed point continuous selection |
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