| 混合单调映象、增映象及不动点 |
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| 引用本文： | 兰坤泉.混合单调映象、增映象及不动点[J].四川师范大学学报(自然科学版),1991(3). |
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| 作者姓名： | 兰坤泉 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 最近,郭大钩教授和 Lankshmikantham 教授根据求常微分方程的初值问题的耦合拟解,提出了某些映象的抽象耦合不动点概念,并获得了许多耦合不动点定理及其应用,本文将混合单调映象的耦合不动点问题转化成乘积空间中增映象的不动点问题来研究,使得混合单调映象的耦合不动点问题的研究更为简单.本文的结果推广了郭、L 等人的许多结论.
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| 关 键 词： | 锥 混合单调映象 耦合不动点 |
MIXED MONOTONE MAPS, INCREASING MAPS AND FIXED POINTS |
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| Lan Kunquan.MIXED MONOTONE MAPS, INCREASING MAPS AND FIXED POINTS[J].Journal of Sichuan Normal University(Natural Science),1991(3). |
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| Authors: | Lan Kunquan |
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| Institution: | Lan Kunquan Department of Mathematics |
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| Abstract: | By changing problem of the coupled fixed points for mixed monotone mappings into the problem of the fixed points for monotone mappings in a product space,the author observes that it be very simple to study the problem of coupled fixed points for mixed monotone mappings. |
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| Keywords: | cone mixed monotone map coupled fixed point |
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