| 广义非线性变分包含的带误差的近似点算法 |
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| 引用本文： | 金茂明. 广义非线性变分包含的带误差的近似点算法[J]. 数学杂志, 2005, 25(3): 269-274 |
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| 作者姓名： | 金茂明 |
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| 作者单位： | 涪陵师范学院数学系,重庆,涪陵,408003 |
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| 基金项目： | SupportedbytheEducstionalScienceFoundationofChongqing,ChongqingofChina(021301). |
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| 摘 要： | 引入和研究了一类新的广义非线性变分包含．在Hilbert空间中利用与极大η-单调映象相联系的预解算子的性质，对新的广义非线性变分包含建立了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强收敛于精确解．其所得结果是近期相关结果的改进和推广．
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| 关 键 词： | 广义非线性变分包含 极大η-单调映象 预解算子 带误差的近似点算法 收敛性 |
PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED NONLINEAR VARIATIONAL INCLUSIONS |
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| JIN Mao-ming. PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED NONLINEAR VARIATIONAL INCLUSIONS[J]. Journal of Mathematics, 2005, 25(3): 269-274 |
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| Authors: | JIN Mao-ming |
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| Abstract: | In this paper, we introduce and study a new class of generalized nonlinear variational inclusions. By using the properties of the resolvent operator associated with maximal η-monotone mappings in Hilbert space, we suggest a new proximal point algorithm with errors for finding approximate solutions which strongly converge to the exact solution of generalized nonlinear variational inclusions. The results presented in this paper extend and improve many known results in the literature. |
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| Keywords: | generalized nonlinear variational inclusion maximal η-monotone mapping resolvent operator proximal point algorithm with errors convergence |
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