| Hilbert空间中变分不等式组的两步投影算法 |
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| 引用本文： | 吴艳秋,夏福全.Hilbert空间中变分不等式组的两步投影算法[J].四川师范大学学报(自然科学版),2011,34(5). |
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| 作者姓名： | 吴艳秋 夏福全 |
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| 作者单位： | 1. 重庆三峡学院数学与计算机科学学院,重庆万州,404000
2. 四川师范大学数学与软件科学学院,四川成都,610066 |
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| 基金项目： | 四川省教育厅自然科学青年基金(09ZA091)资助项目 |
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| 摘 要： | 变分不等式解的迭代算法是变分不等式理论的重要内容之一,而投影方法是研究变分不等式解的迭代算法的重要方法,已经有着广泛的研究和应用.主要研究Hilbert空间中变分不等式组的近似解问题,给出了变分不等式组解的两步投影算法,在映象T松弛-(γ,r)-余强制的假设条件下,证明了两步投影算法所产生的迭代序列收敛于变分不等式组的解.所获得的结果推广和改进了文献中的一些主要结果.
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| 关 键 词： | 变分不等式组 r-强单调映射 松弛-(γ r)-余强制 |
Two-step Projection Methods for Solving a System of General Variational Inequalities in Hilbert Space |
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| WU Yan-qiu,XIA Fu-quan.Two-step Projection Methods for Solving a System of General Variational Inequalities in Hilbert Space[J].Journal of Sichuan Normal University(Natural Science),2011,34(5). |
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| Authors: | WU Yan-qiu XIA Fu-quan |
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| Institution: | WU Yan-qiu,XIA Fu-quan(1.College of Mathematics and Computers Science,Chongqing Three Gorges College,Wanzhou 404000,Chongqing,2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | Variational inequalities and variational inclusions are among the most interesting and important mathematical problems and have been studied intensively in the past years since they have wide applications in the optimization and control,economics and transportation equilibrium,engineering science.For these reasons,many existence result and iterative algorithms for various variational inclusion have been studied.The projection methods for variational inequalities,being one of the most important iterative alg... |
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