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拟变分包含及不动点问题公解的算法

张石生 李向荣 陈志坚

张石生, 李向荣, 陈志坚. 拟变分包含及不动点问题公解的算法[J]. 应用数学和力学, 2008, 29(5): 515-524.
引用本文: 张石生, 李向荣, 陈志坚. 拟变分包含及不动点问题公解的算法[J]. 应用数学和力学, 2008, 29(5): 515-524.
ZHANG Shi-sheng, LEE Joseph H W, CHAN Chi Kin. Algorithms of Common Solutions for Quasi Variational Inclusion and Fixed Point Problems[J]. Applied Mathematics and Mechanics, 2008, 29(5): 515-524.
Citation: ZHANG Shi-sheng, LEE Joseph H W, CHAN Chi Kin. Algorithms of Common Solutions for Quasi Variational Inclusion and Fixed Point Problems[J]. Applied Mathematics and Mechanics, 2008, 29(5): 515-524.

拟变分包含及不动点问题公解的算法

详细信息
    作者简介:

    张石生(1934- ),男,云南曲靖人,教授(联系人.Tel:+86-28-85415930;E-mail:sszhang_1@yahoo.com.cn).

  • 中图分类号: O177.91

Algorithms of Common Solutions for Quasi Variational Inclusion and Fixed Point Problems

  • 摘要: 介绍了一种新的迭代算法,在Hilbert空间的框架下,用以寻求具多值极大单调映象和逆-强单调映象的变分包含的解集与非扩张映象的不动点集的公共元.在适当的条件下,逼近于这一公共元的某些强收敛定理被证明.所得结果是新的,它不仅改进和推广了Korpelevich 的结果,而且也推广和改进了Iiduka和Takahashi,Takahashi和Toyoda,Nadezhkina和Takahashi及Zeng和Yao等人的最新结果.
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出版历程
  • 收稿日期:  2007-08-30
  • 修回日期:  2008-03-19
  • 刊出日期:  2008-05-15

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