| 非连续增算子的不动点定理 |
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| 引用本文： | 张庆政. 非连续增算子的不动点定理[J]. 山西大学学报(自然科学版), 1997, 20(2): 154-156 |
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| 作者姓名： | 张庆政 |
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| 作者单位： | 商丘师专数学系 |
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| 摘 要： | 通过引入全序拟备集和全序自备集概念，给出半序集上的复合单值增算子的不动点定理，所得结果包含郭大钧和孙经先等人的相应结果为特例
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| 关 键 词： | 半序集，全序拟备集，全序自备集，增算子，不动点 |
FIXED POINT THEOREMS OF NON-CONTINUOUSINCREASING OPERATOR |
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| Zhang Qingzheng. FIXED POINT THEOREMS OF NON-CONTINUOUSINCREASING OPERATOR[J]. Journal of Shanxi University (Natural Science Edit, 1997, 20(2): 154-156 |
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| Authors: | Zhang Qingzheng |
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| Abstract: | In this paper, the concepts of the totally ordered quasi-complete set and the totally ordered self-complete set are introduced, and the fixed point theorems of composite single-valued increasing operator in partly ordered set are given. As a special case the relevant results of Guo Dajun and Sun Jingxian and others are included. |
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| Keywords: | partly ordered set totally ordered quasi-complete set totally ordered self-complete set increasing operator fixed points |
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