| 随机内积模上广义强非线性拟变分不等式 |
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| 引用本文： | 郭培华,黄建华.随机内积模上广义强非线性拟变分不等式[J].云南师范大学学报(自然科学版),2007,27(6):10-14. |
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| 作者姓名： | 郭培华 黄建华 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 福建大学科技发展基金:2006-XQ-21,826025 |
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| 摘 要： | 文章给出随机内积模上一类变分不等式的解的存在性定理。在随机内积空间中利用随机闭凸子集的最佳逼近元及投影算子的理论,研究了一比较广泛的强非线性变分不等式的解的存在性及其收敛性。
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| 关 键 词： | 随机内积空间 随机内积模 广义强非线性拟变分不等式 |
| 文章编号： | 1007-9793（2007）06-0010-05 |
| 修稿时间： | 2007-04-04 |
General Strongly Nonlinear Quasivariational Inequalities in Random Inner Product Module |
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| GUO Pei-hua,HUANG Jian-hua.General Strongly Nonlinear Quasivariational Inequalities in Random Inner Product Module[J].Journal of Yunnan Normal University (Natural Sciences Edition),2007,27(6):10-14. |
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| Authors: | GUO Pei-hua HUANG Jian-hua |
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| Institution: | College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China, 350002 |
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| Abstract: | The paper shows the existence theorems of the solutions for one class variational inequalities in random inner product module and it also studies the existence of the solutions for one class general strongly nonlinear quasivariational and its convergence by using the best approximation of random closed convex subset and projection operator theory. |
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| Keywords: | random inner product space random inner product module general strongly nonlinear quasivariational inequalities |
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