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Hilbert空间中求解分裂可行问题CQ算法的强收敛性

赵世莲

赵世莲. Hilbert空间中求解分裂可行问题CQ算法的强收敛性[J]. 应用数学和力学, 2019, 40(1): 108-114. doi: 10.21656/1000-0887.390012
引用本文: 赵世莲. Hilbert空间中求解分裂可行问题CQ算法的强收敛性[J]. 应用数学和力学, 2019, 40(1): 108-114. doi: 10.21656/1000-0887.390012
ZHAO Shilian. Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2019, 40(1): 108-114. doi: 10.21656/1000-0887.390012
Citation: ZHAO Shilian. Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2019, 40(1): 108-114. doi: 10.21656/1000-0887.390012

Hilbert空间中求解分裂可行问题CQ算法的强收敛性

doi: 10.21656/1000-0887.390012
基金项目: 国家自然科学基金(11371015)
详细信息
    作者简介:

    赵世莲(1984—),女,讲师,硕士(E-mail: 14622959@qq.com).

  • 中图分类号: O177.91

Strong Convergence of CQ Algorithms for Split Feasibility Problems in the Hilbert Spaces

Funds: The National Natural Science Foundation of China(11371015)
  • 摘要: 在Hilbert空间中,为了研究分裂可行问题迭代算法的强收敛性,提出了一种新的CQ算法.首先利用CQ算法构造了一个改进的Halpern迭代序列; 然后通过把分裂可行问题转化为算子不动点, 在较弱的条件下, 证明了该序列强收敛到分裂可行问题的一个解. 推广了Wang和Xu的有关结果.
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    [9] 杨丽, 李军. Hilbert空间中分裂可行性问题的改进Halpern 迭代和黏性逼近算法[J]. 应用数学和力学, 2017,38(9): 1072-1080.(YANG Li, LI Jun. Modified Halpern iteration and viscosity approximation methods for split feasibility problems in Hilbert spaces[J]. Applied Mathematics and Mechanics,2017,38(9): 1072-1080.(in Chinese))
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出版历程
  • 收稿日期:  2018-01-08
  • 修回日期:  2018-03-26
  • 刊出日期:  2019-01-01

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