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Hilbert空间中广义平衡问题与k-严格伪压缩映象的强收敛定理

张石生 饶若峰 黄家琳

张石生, 饶若峰, 黄家琳. Hilbert空间中广义平衡问题与k-严格伪压缩映象的强收敛定理[J]. 应用数学和力学, 2009, 30(6): 638-647. doi: 10.3879/j.issn.1000-0887.2009.06.002
引用本文: 张石生, 饶若峰, 黄家琳. Hilbert空间中广义平衡问题与k-严格伪压缩映象的强收敛定理[J]. 应用数学和力学, 2009, 30(6): 638-647. doi: 10.3879/j.issn.1000-0887.2009.06.002
ZHANG Shi-sheng, RAO Ruo-feng, HUANG Jia-lin. Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(6): 638-647. doi: 10.3879/j.issn.1000-0887.2009.06.002
Citation: ZHANG Shi-sheng, RAO Ruo-feng, HUANG Jia-lin. Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(6): 638-647. doi: 10.3879/j.issn.1000-0887.2009.06.002

Hilbert空间中广义平衡问题与k-严格伪压缩映象的强收敛定理

doi: 10.3879/j.issn.1000-0887.2009.06.002
基金项目: 四川省教委青年科学基金资助项目(08ZB002);四川省自然科学基金资助项目(2008ZC001)
详细信息
    作者简介:

    张石生(1934- ),男,云南曲靖人,教授(联系人.E-mail:changss@yahoo.cn).

  • 中图分类号: O177.91

Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces

  • 摘要: 在Hilbert空间中引进并研究了一种新的迭代算法,借以寻求广义平衡问题解集与k-严格伪压缩映象不动点集的一公共元.所得到的结果,推广并改进了最近一些人所发布的新结果.
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    [6] Suzuki T. Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals[J].J Math Anal Appl,2005,305(1):227-239. doi: 10.1016/j.jmaa.2004.11.017
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出版历程
  • 收稿日期:  2008-12-06
  • 修回日期:  2009-03-31
  • 刊出日期:  2009-06-15

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