| 一类新的含A-单调映像的完全广义集值强非线性混合隐拟变分包含 |
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| 引用本文： | 余显志,肖光强,严尚安,邓磊.一类新的含A-单调映像的完全广义集值强非线性混合隐拟变分包含[J].西南大学学报,2011,33(2). |
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| 作者姓名： | 余显志 肖光强 严尚安 邓磊 |
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| 作者单位： | 余显志,肖光强,严尚安,YU Xian-zhi,XIAO Guang-qiang,YAN Shang-an(中国人民解放军后勤工程学院基础部,重庆,401311);邓磊,DENG Lei(西南大学,数学与统计学院,重庆,400715) |
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| 摘 要： | 在Hilbert空间中引入和研究了一类新的包含A-单调映像的完全广义集值强非线性混合隐拟变分包含.通过应用A-单调映像的预解算子技巧,构造了一个新的迭代算法来逼近此类变分包含的解.讨论了由此算法产生的迭代序列的收敛分析.Abstract：A new class of completely generalized set-valued strongly nonlinear mixed implicit quasi-variational inclusions involving A-monotone mapping is introduced and investigated in Hilbert spaces. A new iterative algorithm for approximating the solutions of this class of completely generalized set-valued strong nonlinear mixed implict quasivariational inclusions is constructed by applying resolvent operator technique for A-monotone mapp1ng. The convergence analysis of the iterative sequences generated by the algorithm is discussed.
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| 关 键 词： | 完全广义集值强非线性混合隐拟变分包含 A-单调 强单调 松弛单调 广义伪压缩 预解算子技巧 |
A New Class of Completely Generalized Set-Valued Strongly Nonlinear Mixed Implicit Quasi-Variational Inclusions Involving A-Monotone Mappings |
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| YU Xian-zhi,XIAO Guang-qiang,YAN Shang-an,DENG Lei.A New Class of Completely Generalized Set-Valued Strongly Nonlinear Mixed Implicit Quasi-Variational Inclusions Involving A-Monotone Mappings[J].Journal of Southwest Agricultural University,2011,33(2). |
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| Authors: | YU Xian-zhi XIAO Guang-qiang YAN Shang-an DENG Lei |
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