## 留言板

 引用本文: 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[J]. 应用数学和力学, 2007, 28(6): 643-650.
XU Hai-li, GUO Xing-ming. Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities[J]. Applied Mathematics and Mechanics, 2007, 28(6): 643-650.
 Citation: XU Hai-li, GUO Xing-ming. Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities[J]. Applied Mathematics and Mechanics, 2007, 28(6): 643-650.

## 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).
• 中图分类号: O177.1；O178

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

• 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．
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##### 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

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