| Hilbert空间中闭的拟严格伪压缩映像的收缩投影方法(英文) |
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| 引用本文： | 马乐荣,高兴慧.Hilbert空间中闭的拟严格伪压缩映像的收缩投影方法(英文)[J].四川师范大学学报(自然科学版),2011,34(6):780-783. |
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| 作者姓名： | 马乐荣 高兴慧 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 基金项目： | supported by the National Natural Science Foundation of China(10771050); Scientific Research Program Fundedby Shaanxi Provincial Education Department(11JK0486)~~ |
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| 摘 要： | 在Hilbert空间中,引入和研究了一种新的收缩投影迭代算法,用以逼近拟严格伪压缩映像的不动点.在适当的条件下,利用所提出的收缩投影算法证明了闭的拟严格伪压缩映像的不动点的强收敛定理,所得结果改进和推广了近期文献的相关结果.
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| 关 键 词： | 收缩投影方法 闭映像 拟严格伪压缩映像 不动点 |
A Shrinking Projection Method for Closed and Quasi-strict Pseudo-contractions in a Hilbert Space |
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| MA Le-rong,GAO Xing-hui.A Shrinking Projection Method for Closed and Quasi-strict Pseudo-contractions in a Hilbert Space[J].Journal of Sichuan Normal University(Natural Science),2011,34(6):780-783. |
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| Authors: | MA Le-rong GAO Xing-hui |
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| Institution: | MA Le-rong,GAO Xing-hui(College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,Shaanxi) |
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| Abstract: | The purpose of this paper is to propose a new shrinking projection method for quasi-strict pseudo-contractions and prove a strong convergence theorem for closed and quasi-strict pseudo-contractions in a Hilbert space.The results of this paper improve and extend some recent relative results. |
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| Keywords: | shrinking projection methods closed mapping quasi-strict pseudo-contraction fixed point |
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