| Hilbert空间中一类新的包含A-单调映像的广义集值变分包含组 |
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| 引用本文： | 余显志,肖光强,邓磊.Hilbert空间中一类新的包含A-单调映像的广义集值变分包含组[J].西南大学学报,2009,31(6). |
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| 作者姓名： | 余显志 肖光强 邓磊 |
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| 作者单位： | 余显志,肖光强,YU Xian-zhi,XIAO Guang-qiang(后勤工程学院基础部,重庆,400016);邓磊,DENG Lei(西南大学,数学与统计学院,重庆,400715) |
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| 基金项目： | 国家自然科学基金，河南省教育厅自然科学基础研究指导项目 |
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| 摘 要： | 在Hilbert空间中给出了一类新的包含A-单调映像的广义集值变分包含组.通过研究A-单调映像的性质,讨论了A-单调映像的预解算子及其Lipschitz连续性.提出了解这类变分包含组的一个新的迭代算法并在适当的假设下建立其强收敛特征.Abstract：A new system of generalized set-valued variational inclusions involving A -monotone mappings is given in Hilbert spaces. By studying the properties of A-monotone mapping, the resolvent operator for A-monotone mappings and its Lipschitz continuity are discussed. A new iterative algorithm for solving this system of generalized setvalued variational inclusions is proposed and its strong convergence criteria are established under appropriate assumptions.
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| 关 键 词： | 广义集值变分包含组 A-单调映像 预解算子技巧 迭代算法 |
A New System of Generalized Set-Valued Variational Inclusions with A-Monotone Mappings in Hilbert Spaces |
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| YU Xian-zhi,XIAO Guang-qiang,DENG Lei.A New System of Generalized Set-Valued Variational Inclusions with A-Monotone Mappings in Hilbert Spaces[J].Journal of Southwest Agricultural University,2009,31(6). |
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| Authors: | YU Xian-zhi XIAO Guang-qiang DENG Lei |
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