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Hilbert空间中分裂可行性问题的改进Halpern迭代和黏性逼近算法

杨丽 李军

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. doi: 10.21656/1000-0887.380106
引用本文: 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. doi: 10.21656/1000-0887.380106
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. doi: 10.21656/1000-0887.380106
Citation: 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. doi: 10.21656/1000-0887.380106

Hilbert空间中分裂可行性问题的改进Halpern迭代和黏性逼近算法

doi: 10.21656/1000-0887.380106
基金项目: 国家自然科学基金(11371015);四川省高校科研创新团队项目(16TD0019)
详细信息
    作者简介:

    杨丽(1980—), 女,讲师,硕士(通讯作者. E-mail: yangli@cwnu.edu.cn);李军(1974—), 男,教授,博士(E-mail: junli1026@163.com).

  • 中图分类号: O177.19

Modified Halpern Iteration and Viscosity Approximation Methods for Split Feasibility Problems in Hilbert Spaces

Funds: The National Natural Science Foundation of China(11371015)
  • 摘要: 在无限维Hilbert空间中,提出了求解分裂可行性问题(SFP)的改进Halpern迭代和黏性逼近算法,证明了当参数满足一定条件时,由给定算法生成的序列强收敛到分裂可行性问题的一个解.这些结论推广了Deepho和Kumam近年来的一些结果
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  • 被引次数: 0
出版历程
  • 收稿日期:  2017-04-20
  • 修回日期:  2017-06-14
  • 刊出日期:  2017-09-15

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