| 上半连续集值1-集压缩映射的-正不动点 |
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| 引用本文： | 魏曙光,王开荣,何光辉,张谋.上半连续集值1-集压缩映射的-正不动点[J].重庆大学学报(自然科学版),2007,30(6):134-136. |
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| 作者姓名： | 魏曙光 王开荣 何光辉 张谋 |
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| 作者单位： | 重庆大学数理学院,重庆400030;重庆大学数理学院,重庆400030;重庆大学数理学院,重庆400030;重庆大学数理学院,重庆400030 |
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| 摘 要： | 利用上半连续集值1-集压缩映射的拓扑度以及上半连续集值1-集压缩映射的不动点定理,研究它在锥中的情形,即研究上半连续集值1一集压缩映射正不动点存在的边界条件.对上半连续集值1-集压缩映射的不动点定理在锥中进行了自然的推广,也是对单值1-集压缩映射的正不动点定理进行的一个自然的延伸.
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| 关 键 词： | 集值1-集压缩映射 正不动点 锥 Banach空间 上半连续 半紧 |
| 文章编号： | 1000-582X（2007）06-0134-03 |
| 修稿时间： | 2007-01-22 |
Positive Fixed Points for Upper Semicontinuous Set-valued 1-set-contractive Mapping |
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| WEI Shu-guang,WANG Kai-rong,HE Guang-hui,ZHANG Mou.Positive Fixed Points for Upper Semicontinuous Set-valued 1-set-contractive Mapping[J].Journal of Chongqing University(Natural Science Edition),2007,30(6):134-136. |
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| Authors: | WEI Shu-guang WANG Kai-rong HE Guang-hui ZHANG Mou |
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| Institution: | Collage of Mathematics and Physics, Chongqing University, Chongqing 400030, China |
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| Abstract: | Using topological degree for upper semicontinuous set-valued 1-set-contractive mapping and the fixed point theorems for upper semicontinuous set-valued 1-set-contractive mapping, the boundary conditions of existing positive fixed points is studied for upper semicontinuous set-valued 1-set-contractive mapping. In fact, it is a natural conclusion in the cone for the fixed point theorems of upper semicontinuous set-valued 1-set-contractive mapping, and it is a natural extend for positive fixed point theorems of single-valued 1-set-contractive mapping. |
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| Keywords: | set-valued 1-set-contractive mapping positive fixed point cone Banach space upper semicontinuity demicompact |
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