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渐近非扩张映像不动点迭代逼近的CQ方法
引用本文:赵世莲.渐近非扩张映像不动点迭代逼近的CQ方法[J].内江师范学院学报,2013,28(8):13-15,22.
作者姓名:赵世莲
作者单位:西华师范大学数学与信息学院,四川 南充,637002
摘    要:在Hilbert空间中,利用CQ方法研究了渐近非扩张映像的不动点,证明了修改的Ishikawa迭代序列强收敛到渐近非扩张映像的公共不动点,推广并改进了一些相关结论.

关 键 词:渐近非扩张映像  不动点  CQ方法  Ishikawa迭代

The CQ Method for Fixed Points Iterative Approximation Involving Asymptotically Nonexpansive Mappings
ZHAO Shi-lian.The CQ Method for Fixed Points Iterative Approximation Involving Asymptotically Nonexpansive Mappings[J].Journal of Neijiang Teachers College,2013,28(8):13-15,22.
Authors:ZHAO Shi-lian
Institution:ZHAO Shi-lian(School of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637002,China)
Abstract:By use of the CQ method,the fixed point of asymptotically nonexpansive mappings in Hilbert spaces is put under investigation,and it is proved that the modified Ishikawa iterative sequence strongly converges to the common fixed point of asymptotically nonexpansive mappings.The result generalizes and improves some corresponding results.
Keywords:asymptotically nonexpansive mappings  fixed point  CQ method  ishikawa iterative sequence
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