| 广义f-投影算子求解一类非线性集值隐变分不等式 |
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| 引用本文： | 向国坤,岳永鹏,吕利娟.广义f-投影算子求解一类非线性集值隐变分不等式[J].贵州师范大学学报(自然科学版),2014(2):75-78,112. |
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| 作者姓名： | 向国坤 岳永鹏 吕利娟 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充637002 |
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| 基金项目： | 国家自然科学基金面上项目（11371015）;四川省青年科技基金项目（2012JQ0032） |
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| 摘 要： | 在Hilbert空间中,作者用一种含有广义f-投影算子的迭代算法求解一类非线性集值混合隐变分不等式。在满足适当的条件下,证明了迭代序列的收敛性。
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| 关 键 词： | 集值隐变分不等式 广义f-投影 迭代算法 收敛 |
A generalizedf-projection algorithm for solving a class of nonlinear set-valued implicit variational inequalities |
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| XIANG Guokun,YUE Yongpeng,LV Lijuan.A generalizedf-projection algorithm for solving a class of nonlinear set-valued implicit variational inequalities[J].Journal of Guizhou Normal University(Natural Sciences),2014(2):75-78,112. |
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| Authors: | XIANG Guokun YUE Yongpeng LV Lijuan |
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| Institution: | (School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China) |
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| Abstract: | In Hilbert spaces,an iterative algorithm involving the generalizedf-projection operator for solving a class of nonlinear implicit variational inequalities with set-valued mapping is constructed and the convergence of sequences generated by the algorithm is given under some suitable conditions. |
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| Keywords: | set-valued implicit variational inequality generalize f-prjection iterative algorithm convergence |
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