| 严格集压缩映象的三不动点定理 |
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| 引用本文： | 牧少伯,梁童. 严格集压缩映象的三不动点定理[J]. 河南教育学院学报(自然科学版), 2010, 19(2): 1-3. DOI: 10.3969/j.issn.1007-0834.2010.02.001 |
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| 作者姓名： | 牧少伯 梁童 |
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| 作者单位： | 河南教育学院,数学系,河南,郑州,450046;黄河水利职业技术学院,数学系,河南,开封,475003 |
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| 基金项目： | 河南省科技厅软科学项目 |
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| 摘 要： | 利用不动点指数理论将Avery的三不动点定理推广到严格集压缩映象,从而得到关于严格集压缩映象的3个正的不动点的存在性.
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| 关 键 词： | 非紧性测度 严格集压缩映象 不动点指数 |
Three Fixed Points Theorem for Strict Set Contraction Mapping |
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| MU Shao-bo,LIANG Tong. Three Fixed Points Theorem for Strict Set Contraction Mapping[J]. Journal of Henan Education Institute(Natural Science Edition), 2010, 19(2): 1-3. DOI: 10.3969/j.issn.1007-0834.2010.02.001 |
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| Authors: | MU Shao-bo LIANG Tong |
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| Affiliation: | MU Shao-bo1,LIANG Tong2(1.Department of Mathematics,Henan Institute of Education,Zhengzhou 450046,China,2.Department of Mathematics,Yellow River Conservancy Technical Institute,Kaifeng 475003,China) |
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| Abstract: | By using fixed point index,the Avery three fixed points theorem is generalized to strict set contraction mapping,and the existence of three positive fixed points for strict set contraction mapping is obtained. |
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| Keywords: | measure of noncompactness strict set contraction mapping fixed point index |
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