| 关于“不动点的单调原理”的条件的修正(英文) |
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| 引用本文： | 卢同善.关于“不动点的单调原理”的条件的修正(英文)[J].中国海洋大学学报(自然科学版),1990(3). |
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| 作者姓名： | 卢同善 |
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| 作者单位： | 青岛海洋大学应用数学系 |
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| 摘 要： | Taskovic,M R于1985年建立的“不动点的单调原理”,经作者证明是错误的。本文以另外的条件来代替“不动点的单调原理”中的所谓“AT—型条件”,建立了相应的不动点定理。该定理是某些重要结果的进一步推广。
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| 关 键 词： | 度量空间 不动点定理 不动点的单调原理 |
A CORRECTION OF THE CONDITION OF MONOTONE PRINCIPLE OF FIXED POINTS |
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| Lu Tongshan.A CORRECTION OF THE CONDITION OF MONOTONE PRINCIPLE OF FIXED POINTS[J].Periodical of Ocean University of China,1990(3). |
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| Authors: | Lu Tongshan |
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| Institution: | Department of Applied Mathematics |
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| Abstract: | It has already been proved by the author of the present paper that the Monotone Principle of Fixed Points established in 1 ] is not true In the present paper, another condition is substituted for "the condition of AT-type in the Monotone Principle of Fixed Points, and then a new fixed point theorem is established which generalizes some important results. |
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| Keywords: | metric space fixed point theorem monotone principle of fixed points |
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