| 一类变分不等式系统的辅助问题及其算法 |
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| 引用本文： | 谢水连,许鸿儒.一类变分不等式系统的辅助问题及其算法[J].嘉应学院学报,2009,27(6):9-12. |
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| 作者姓名： | 谢水连 许鸿儒 |
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| 作者单位： | 嘉应学院,数学学院,广东,梅州,514015 |
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| 摘 要： | 研究了一类非线性变分不等式系统(SNVI)及其相关辅助问题,建立了辅助问题解的存在性定理。基于这些辅助问题,构造了求解SNVI的算法,证明了SNVI解的存在性以及算法的收敛性。
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| 关 键 词： | 非线性变分不等式系统 辅助问题 迭代算法 收敛 |
Auxiliary Problems and Iterative Algorithm for a Kind of System of Nonlinear Variational Inequalities |
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| XIE Shui-lian,XU Hong-ru.Auxiliary Problems and Iterative Algorithm for a Kind of System of Nonlinear Variational Inequalities[J].Journal of Jiaying University,2009,27(6):9-12. |
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| Authors: | XIE Shui-lian XU Hong-ru |
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| Institution: | XIE Shui - lian, XU Hong- ru (School of Mathernatics , Jiaying University, Meizhou 514015, China) |
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| Abstract: | We consider a kind of system of nonlinear variational inequalities （SNVI） and its related auxiliary problems. Existence theorem of solution of auxiliary problems is established. Based on these auxiliary problems, an iterative algorithm for SNVI is constructed. Furthermore, the existence of solution of SNVI as well as the convergence of the algorithm is established. |
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| Keywords: | system of nonlinear variational inequalities auxiliary problem iterative algorithm convergence |
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