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Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组

丁协平 王中宝

丁协平, 王中宝. Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组[J]. 应用数学和力学, 2009, 30(1): 1-14.
引用本文: 丁协平, 王中宝. Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组[J]. 应用数学和力学, 2009, 30(1): 1-14.
DING Xie-ping, WANG Zhong-bao. System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(1): 1-14.
Citation: DING Xie-ping, WANG Zhong-bao. System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(1): 1-14.

Banach空间内涉及H-η-单调算子的集值混合拟似变分包含组

基金项目: 四川省教育厅重点科研基金资助项目(07ZA092SZD0406)
详细信息
    作者简介:

    丁协平(1938- ),男,自贡人,教授(联系人.Tel:+86-28-84780952;E-mail:xiepingding@hotmail.com);王中宝(1982- ),男,绵阳人,硕士.

  • 中图分类号: 225;189.11

System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces

  • 摘要: 在没有光滑性的一般Banach空间内引入和研究了涉及H-η-单调算子的集值混合拟似变分包含组(SSMQVLI).利用与H-η-单调算子相联系的预解算子技巧,建议和分析了一类寻求SSMQVLI的近似解的新的迭代算法.在适当假设下,证明了由算法生成的迭代序列强收敛于SSMQVLI的精确解.这些结果是新的,改进和推广了这一领域的相应结果.
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出版历程
  • 收稿日期:  2008-08-18
  • 修回日期:  2008-12-02
  • 刊出日期:  2009-01-15

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