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

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^1,2,
丁协平²

1.
北京工业大学应用数理学院,北京 100022;2.四川师范大学数学与软件科学学院,成都 610066

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
计量
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- 被引次数: 0
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

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

ZHANG Qing-bang^1,2,
DING Xie-ping²

1.
College of Applied Sciences, Beijing University of Technology, Beijing 100022, P. R. China;

摘要

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．
- g-η-单调映像 /
- 预解算子 /
- 广义隐似变分包含 /
- 迭代算法
Abstract: A new class of g-Eta-monotone mappings and a class of generalized implicit variational-like inclusions involving g-Eta-monotone mappings are introduced. The resolvent operator of g-Eta-monotone mappings is defined and its Lipschitz continuity is presented. An iterative algorithm for approximating the solutions of generalized implicit variational-like inclusions is suggested and analyzed. The convergence of iterative sequence generated by the algorithm is also proved.
- g-η-monotone mapping /
- resolvent operator /
- generalized implicit variational-like inclusion /
- iterative algorithm

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参考文献(14)

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