| 复合集值增算子的不动点定理 |
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| 引用本文： | 张庆政. 复合集值增算子的不动点定理[J]. 辽宁师范大学学报(自然科学版), 1996, 19(3): 192-196 |
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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： | 通过引入集值算子的下增、上增、全增、强增和半序集上的全序拟备集、全序自备集等概念，讨论了由单值算子与集值算子复合而成的集值增算子的不动点的存在性，改进和推广了已有文献的某些结果
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| 关 键 词： | 半序集，集值增算子，不动点 |
FIXED POINT THEOREMS OF COMPOSITE SET VALUED INCREASING OPERATORS |
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| Zhang Qingzheng. FIXED POINT THEOREMS OF COMPOSITE SET VALUED INCREASING OPERATORS[J]. Journal of Liaoning Normal University(Natural Science Edition), 1996, 19(3): 192-196 |
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| Authors: | Zhang Qingzheng |
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| Abstract: | By introducing the concepts of the lower increasing,upperincreasing ,total increasing and strong increasing for set valued operators and the concepts of totally ordered quasi complete set and totally self complete set in semiordered set ,the existence of fixed point for the set valued increasing operators composed of a single valued operator and a set valued operator is discussed.Some results in the present are improved and generalized. |
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| Keywords: | semiordered set set valued increasing operators fixed points |
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