| 一类混合单调算子不动点定理的推广 |
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| 引用本文： | 李俊强,张斐然. 一类混合单调算子不动点定理的推广[J]. 郑州大学学报(理学版), 2004, 36(4): 13-15 |
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| 作者姓名： | 李俊强 张斐然 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450052
2. 商丘师范学院数学系,河南,商丘,476000 |
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| 摘 要： | 运用锥理论与单调迭代技巧,讨论了一类混合单调算子的不动点的存在惟一性,得到了若干不具有连续性和紧性条件的有关混合单调算子、增算子和减算子的新不动点定理.所得结果是某些已有结果的本质改进和推广.
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| 关 键 词： | 锥理论 半序 混合单调算子 不动点 |
| 文章编号： | 1671-6841(2004)04-0013-03 |
| 修稿时间： | 2003-12-20 |
Generalizations of Fixed Point Theorems of Some Mixed Monotone Operators |
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| Li Junqiang,Zhang Feiran. Generalizations of Fixed Point Theorems of Some Mixed Monotone Operators[J]. Journal of Zhengzhou University(Natrual Science Edition), 2004, 36(4): 13-15 |
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| Authors: | Li Junqiang Zhang Feiran |
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| Affiliation: | Li Junqiang1,Zhang Feiran2 |
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| Abstract: | By using the cone theory and the monotone succession skills,the existence and uniqueness of fixed point for a class of mixed monotone operators are studied,and some new fixed point theorems of mixed monotone operators,increasing operators and decreasing operators which have no continuous and compact conditions are obtained.The results improve and generalize some corresponding results. |
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| Keywords: | cone theazy semi-order ordering mixed monotone operators fixed point |
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