广义集值强非线性混合似变分不等式的辅助原理和三步迭代算法

徐海丽; 郭兴明

广义集值强非线性混合似变分不等式的辅助原理和三步迭代算法

上海大学, 上海市应用数学和力学研究所,上海 200072

基金项目: 国家自然科学基金资助项目(10472061)

详细信息

作者简介:
徐海丽(1979- ),女,山西人,硕士(E-mail:ccjjwwjj@hotmail.com);郭兴明(1964- ),男,湖南人,教授,博士,博士生导师(联系人.Tel:+86O21O56331453;E-mail:xmguo@mail.shu.edu.cn).

中图分类号: O177.1；O178
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- 文章访问数: 3024
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- 被引次数: 0
出版历程
- 收稿日期: 2007-03-12
- 修回日期: 2007-04-18
- 刊出日期: 2007-06-15

Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 使用辅助原理技巧研究了一类广义集值强非线性混合变分不等式．证明了此类集值强非线性混合变分不等式辅助问题解的存在性和唯一性;构建了一个新的三步迭代算法,通过辅助原理技巧,构建并计算此类非线性混合变分不等式的近似解,进一步证明非线性混合变分不等式解的存在性以及由算法产生的三个序列的收敛性．所得结论推广了近年来许多混合变分不等式和准变分不等式以及他们的有关结果．
- 混合似变分不等式 /
- 三步迭代算法 /
- 集值映射 /
- 辅助原理技巧
Abstract: The auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended.The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities was proved.A novel and innovative three-step iterative algorithm to compute approximate solution was constructed.And the existence of the solution of the generalized set-valued strongly nonlinear mixed variationa-llike inequality was showed by using the auxiliary principle technique.The convergence of three-step iterative sequences generated by the algorithm was also proved.
- mixed variational-like inequality /
- threeOstep iterative algorithm /
- set-valued mapping /
- auxiliary principle technique

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参考文献(23)

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广义集值强非线性混合似变分不等式的辅助原理和三步迭代算法

作者简介:
徐海丽(1979- ),女,山西人,硕士(E-mail:ccjjwwjj@hotmail.com);郭兴明(1964- ),男,湖南人,教授,博士,博士生导师(联系人.Tel:+86O21O56331453;E-mail:xmguo@mail.shu.edu.cn).

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Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

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广义集值强非线性混合似变分不等式的辅助原理和三步迭代算法

作者简介: 徐海丽(1979- ),女,山西人,硕士(E-mail:ccjjwwjj@hotmail.com);郭兴明(1964- ),男,湖南人,教授,博士,博士生导师(联系人.Tel:+86O21O56331453;E-mail:xmguo@mail.shu.edu.cn).

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出版历程

Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

计量

出版历程

目录

作者简介:
徐海丽(1979- ),女,山西人,硕士(E-mail:ccjjwwjj@hotmail.com);郭兴明(1964- ),男,湖南人,教授,博士,博士生导师(联系人.Tel:+86O21O56331453;E-mail:xmguo@mail.shu.edu.cn).