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邻近点CQ法的强收敛性

Strong Convergence of the CQ Method for the Proximal Point Algorithm
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摘要 讨论了邻近点(PPA)问题的迭代逼近,采用CQ法证明了把Mann迭代和近似迭代算法揉合在一起构成的新迭代序列,在一定的假设条件下强收敛,推广和改进了其它文献中的证明方法。 The iterative approximation for the proximal point algorithm are discussed. A new iterative sequence is proved by the CQ method which is eonstituted by the Mann iteration and approximate iterative algorithm. It has strong convergence under suitable assumption. The eorresponding proof method of the other literatures is extended and improved.
作者 李强 冯世强
出处 《四川理工学院学报(自然科学版)》 CAS 2012年第6期92-95,共4页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 教育部科学技术重点项目(211163)
关键词 PPA 强收敛 CQ法 非扩张映射 极大单调算子 proximal point algorithm strong convergence CQ method nonexpansive mapping maximal monotone operator
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参考文献8

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