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g-Eta-单调映像和解广义隐似变分包含的预解算子技巧

张清邦 丁协平

张清邦, 丁协平. g-Eta-单调映像和解广义隐似变分包含的预解算子技巧[J]. 应用数学和力学, 2007, 28(1): 9-16.
引用本文: 张清邦, 丁协平. g-Eta-单调映像和解广义隐似变分包含的预解算子技巧[J]. 应用数学和力学, 2007, 28(1): 9-16.
ZHANG Qing-bang, DING Xie-ping. g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions[J]. Applied Mathematics and Mechanics, 2007, 28(1): 9-16.
Citation: ZHANG Qing-bang, DING Xie-ping. g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions[J]. Applied Mathematics and Mechanics, 2007, 28(1): 9-16.

g-Eta-单调映像和解广义隐似变分包含的预解算子技巧

基金项目: 四川省教育厅重点科研基金资助项目(2003A081)
详细信息
    作者简介:

    张清邦(1972- ),男,四川南江人,博士(联系人.E-mail:q.b.zhang@emails.bjut.edu.cn).

  • 中图分类号: O177.91

g-Eta-Monotone Mapping and Resolvent Operator Technique for Solving Generalized Implicit Variational-Like Inclusions

  • 摘要: 引入一类新的g-Eta-单调映像和一类涉及g-Eta-单调映像的广义隐似变分包含;定义了g-Eta-单调映像的预解算子,并证明了其Lipschitz连续性;分析和给出了这类涉及g-Eta-单调映像的广义隐似变分包含的迭代算法,并证明了其收敛性.
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    [12] HUANG Nan-jing,FANG Ya-ping.A new class of general variational inclusions involving maximal η-monotone mappings[J].Publ Math Debrecen,2003,62(1/2):83-98.
    [13] DING Xie-ping.Predictor-corrector iterative algorithms for solving generalized mixed variational-like inequalities[J].Appl Math Comput,2004,152(3):855-865. doi: 10.1016/S0096-3003(03)00602-7
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出版历程
  • 收稿日期:  2003-12-17
  • 修回日期:  2006-10-11
  • 刊出日期:  2007-01-15

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