| 含H-单调算子的广义变分包含 |
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| 引用本文： | 韩泽,方亚平.含H-单调算子的广义变分包含[J].四川大学学报(自然科学版),2004,41(2):279-283. |
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| 作者姓名： | 韩泽 方亚平 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 在Hilbert空间中引入并研究了一类新的含H-单调算子的广义变分包含问题．利用方和黄关于H-单调算子的预解算子方法，得到了这类含H-单调算子的广义变分包含问题解的存在性和唯一性，发展了逼近唯一解的Mann迭代算法．
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| 关 键 词： | H-单调算子 预解算子方法 广义变分包含 Mann迭代算法 |
Extended Variational Inclusions with H-Monotone Operators |
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| Abstract.Extended Variational Inclusions with H-Monotone Operators[J].Journal of Sichuan University (Natural Science Edition),2004,41(2):279-283. |
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| Authors: | Abstract |
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| Abstract: | The authors introduce and study a new class of extended variational inclusions with H-monotone operators in Hilbert spaces. By using Fang and Huang's resolvent operator technique associated with an H-monotone operator, the authors give the existence and uniquencess of extended variational inclusions with H-monotone operators and develop the Mann iterative procedure for approximating the unique solution. |
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| Keywords: | H-monotone operator resolvent operator technique extended variational inclusion Mann iterative algorithm |
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