| 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(自然科学版), 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： | 中国人民解放军后勤工程学院基础部;西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771173) |
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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.
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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 university (Natural science edition), 2011, 33(2) |
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| Authors: | YU Xian-zhi XIAO Guang-qiang YAN Shang-an DENG Lei |
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| Affiliation: | YU Xian-zhi1,XIAO Guang-qiang1,YAN Shang-an1,DENG Lei21.Department of Foudation Studies,Logistics Engineering Institute of the Peoples Liberation Army,Chongqing 401311,China,2.School of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin |
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| 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 quasi-variational inclusions is constructed by applying resolvent operator technique for A-monotone mapping.The convergence analysis of the iterative sequences generated by the algor... |
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| Keywords: | completely generalized set-valued strongly nonlinear mixed implicit quasi-variational inclusion A-monotone strong monotone relaxed monotone generalized pseudo-contraction resolvent operator technique |
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