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  • 范江华.Poincare-Miranda定理的推广[J].广西科学,2002,9(3):166-168.    [点击复制]
  • Fan Jianghua.A Generalization of Poincare-Miranda Theorem[J].Guangxi Sciences,2002,9(3):166-168.   [点击复制]
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Poincare-Miranda定理的推广
范江华
0
(广西师范大学数学系, 桂林市育才路3号 541004)
摘要:
给出Poincare-Miranda定理的一个推广,给出满足该定理条件的集值映射的零点的单纯同伦算法和定理的构造性证明,并证明此定理与Kakutani不动点定理等价.
关键词:  Poincare-Miranda定理  零点  集值映射
DOI:
投稿时间:2001-10-15
基金项目:广西青年科学基金资助项目。
A Generalization of Poincare-Miranda Theorem
Fan Jianghua
(Dept. of Math., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China)
Abstract:
A generalization of Poincare-Miranda theorem is presented. A simplicial homtopy method is established to compute the zero-point of mappings. A constructive proof of the new theorem is given.The new theorem is proved to be equivalent to the Kakutani fixed theorem.
Key words:  Poincare-Miranda theorem  zero-point  set-valued mapping

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