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Hilbert空间中非扩张映射Noor混合迭代序列的收敛性
引用本文:傅湧.Hilbert空间中非扩张映射Noor混合迭代序列的收敛性[J].浙江大学学报(理学版),2011,38(1):22-26.
作者姓名:傅湧
作者单位:宜春学院,数学与计算机科学学院,江西,宜春,336000
摘    要:在Hilbert空间中介绍了非扩张映射Noor混合迭代序列,并且给出了该迭代序列强收敛于不动点的充分必要条件和弱收敛于不动点的充分条件.

关 键 词:非扩张映射  Noor混合迭代序列  Hilbert空间

Convergence of Noor hybrid iterative sequence for nonexpansive mappings in Hilbert spaces
FU Yong.Convergence of Noor hybrid iterative sequence for nonexpansive mappings in Hilbert spaces[J].Journal of Zhejiang University(Sciences Edition),2011,38(1):22-26.
Authors:FU Yong
Institution:FU Yong(Institute of Mathematics and Computer,Yichun University,Yichun 336000,Jiangxi Province,China)
Abstract:Noor hybrid iterative sequence was introduced for nonexpansive mappings in Hilbert spaces.The sufficient and necessary conditions that the iterative sequence converge strongly to a fixed point of a nonexpansive mapping is obtained,and the sufficient condition to the corresponding weakly converge in Hilbert spaces is also given.
Keywords:nonexpansive mapping  Noor hybrid iterative sequence  Hilbert space  
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