| 某些非线性映射不动点的迭代逼近 |
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| 引用本文： | 赵汉宾.某些非线性映射不动点的迭代逼近[J].计算数学,1985,7(2):131-137. |
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| 作者姓名： | 赵汉宾 |
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| 作者单位： | 中国科学技术大学研究生院 |
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| 摘 要： | 本文讨论Banach空间中拟压缩映射、广义拟压缩映射和广义非扩张映射不动点的迭代逼近,所得结果是1—3]中相应结果的推广和改进。 定理 1.设E是Banach空间X的非空闭凸子集,T是映E到自身的拟压缩映射,即存在常数q(0≤q<1),使得对于任意x,y∈E,有
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SUCCESSIVE APPROXIMATIONS OF FIXED POINTS FOR SOME NONLINEAR MAPPINGS |
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| Institution: | Zhao Han-bin China University of Science and Technology |
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| Abstract: | This thesis deals with successive approximations of fixed points for quasi-contrac-tive, generalized quasi-contractive and generalized nonexpansive mappings in Banachspaces, They are extensions and improvements of the relative results in 1-3]. |
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