| 一般广义非线性集值混合拟变分不等式的新的迭代算法 |
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| 引用本文： | 胡慧英,曾六川. 一般广义非线性集值混合拟变分不等式的新的迭代算法[J]. 上海师范大学学报(自然科学版), 2007, 36(2): 6-11 |
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| 作者姓名： | 胡慧英 曾六川 |
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| 作者单位： | 上海师范大学数理信息学院,上海,200234;上海师范大学数理信息学院,上海,200234 |
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| 基金项目： | 上海市高校优秀青年教师后备人选科研项目 |
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| 摘 要： | 引入和研究了广义非线性集值混合拟变分不等式，并发展了寻求近似解的一类新的迭代算法，且证明了这类广义非线性集值混合拟变分不等式解的存在性以及由此算法生成的近似解序列的收敛性．
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| 关 键 词： | 集值混合拟变分不等式 极大单调映像 迭代算法 |
| 文章编号： | 1000-5137（2007）02-0006-06 |
| 修稿时间： | 2006-05-10 |
A new iterative algorithm for generalized nonlinear set-valued mixed quasi-variational inequalities |
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| HU Hui-ying,ZENG Lu-chuan. A new iterative algorithm for generalized nonlinear set-valued mixed quasi-variational inequalities[J]. Journal of Shanghai Normal University(Natural Sciences), 2007, 36(2): 6-11 |
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| Authors: | HU Hui-ying ZENG Lu-chuan |
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| Affiliation: | College of Mathmatics and Sciences, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | We introduce and study a class of quasi-variational inequalities called generalized nonlinear set-valued.mixed quasivariational inequalities and construct a new iterative algorithm for solving this problem. Moreover, we prove the existence of solutions of this problem and the convergence of the iterative sequences generated by the algorithm. |
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| Keywords: | set-valued mixed quasi-variational inequalities maximal monotone mapping iterative algorithm |
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