| Banach空间中关于广义变分不等式组的一迭代算法 |
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| 引用本文： | 刘英.Banach空间中关于广义变分不等式组的一迭代算法[J].数学研究及应用,2011,31(4):713-720. |
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| 作者姓名： | 刘英 |
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| 作者单位： | 河北大学数学与计算机学院, 河北 保定 071002 |
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| 基金项目： | 河北省自然科学青年基金资助项目(Grant Nos.A2011201053,A2010000191),河北省教育厅自然科学青年基金资助项目(Grant No.2010110). |
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| 摘 要： | In this paper, we propose an iterative method of approximating solutions for a class of the system of generalized variational inequalities and give a convergence result for the iterative method in uniformly convex and uniformly smooth Banach spaces.
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| 关 键 词： | generalized variational inequality generalized f-projection operator compact operator lower semi-continuity positively homogeneous. |
| 收稿时间： | 2009/7/28 0:00:00 |
| 修稿时间： | 2010/4/26 0:00:00 |
An Iterative Scheme for the System of Generalized Variational Inequalities in Banach Spaces |
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| Ying LIU.An Iterative Scheme for the System of Generalized Variational Inequalities in Banach Spaces[J].Journal of Mathematical Research with Applications,2011,31(4):713-720. |
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| Authors: | Ying LIU |
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| Institution: | College of Mathematics and Computer, Hebei University, Hebei, 071002, P.R.China |
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| Abstract: | In this paper, we propose an iterative method of approximating solutions for a class of the system of generalized variational inequalities and give a convergence result for the iterative method in uniformly convex and uniformly smooth Banach spaces. |
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| Keywords: | generalized variational inequality generalized $f$-projection operator compact operator lower semi-continuity positively homogeneous |
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