| 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 |
