| 广义变分包含的近似点算法 |
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| 引用本文： | 高兴慧,马乐荣.广义变分包含的近似点算法[J].甘肃科学学报,2007,19(1):15-18. |
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| 作者姓名： | 高兴慧 马乐荣 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 摘 要： | 引入并研究了一类新的关于H-单调算子的广义非线性变分包含,在Hilbert空间中利用H-单调算子的预解算子性质,建立了这类变分包含的一个新的寻求近似解的带误差的近似点算法,并证明了求近似解序列收敛于精确解.所得结果改进和推广了文献1,2]的相关结果.
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| 关 键 词： | 广义非线性变分包含 H-单调算子 带误差的近似点算法 收敛性 |
| 文章编号： | 1004-0366（2007）01-0015-04 |
| 收稿时间： | 2006-01-04 |
| 修稿时间： | 2006年1月4日 |
Proximal Point Algorithm for Generalized Variational Inclusions |
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| GAO Xing-hui,MA Le-rong.Proximal Point Algorithm for Generalized Variational Inclusions[J].Journal of Gansu Sciences,2007,19(1):15-18. |
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| Authors: | GAO Xing-hui MA Le-rong |
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| Abstract: | A new class of generalized nonlinear variational inclusions involving H-monotone operator is introduced and studied. By using the properties of the resolvent operator associated with H-monotone operator in Hilbert spaces, a new proximal point algorithm with errors is suggested for finding approximate solutions which converge strongly to the exact solution of generalized variational inclusions. The results presented in the paper can extend and improve many known results of1,2]. |
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| Keywords: | generalized nonlinear variational inclusions H-monotone operator proximal point algorithmwith errors convergence |
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