| 一类广义非线性多值变分包含的迭代算法 |
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| 引用本文： | 贡玉军,何中全,牛森. 一类广义非线性多值变分包含的迭代算法[J]. 广西师范学院学报（自然科学版）, 2008, 0(2): 16-20 |
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| 作者姓名： | 贡玉军 何中全 牛森 |
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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： | 四川省高等教育改革工程人才培养质量和教学改革项目（川教[2005]198） |
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| 摘 要： | 在Hilbert空间中,引进了（H,η）-单调算子概念,研究了一类新的广义集值变分包含,利用与（H,η）-单调算子相关的预解算子技巧,构造了求多值变分包含逼近解的迭代算法,并讨论了由此算法产生的迭代序列的收敛特征,给出的结果改进和推广了最近文献中Fang Y.P.,Han Z.,Zeng L.C.等人的相应结果.
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| 关 键 词： | (H,η)-单调算子 预解算子技巧 广义集值变分包含 迭代算法 |
An Iterative Algorithm for Some Generalized Nonlinear Set- valued Variational Inclusions |
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| GONG Yu-jun,HE Zhong-quan,NIU Sen. An Iterative Algorithm for Some Generalized Nonlinear Set- valued Variational Inclusions[J]. Journal of Guangxi Teachers College(Natural Science Edition), 2008, 0(2): 16-20 |
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| Authors: | GONG Yu-jun HE Zhong-quan NIU Sen |
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| Affiliation: | (School of Mathematics and Information, China West Normal University, Nanchong 637002, China) |
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| Abstract: | In the paper, the concept of strongly monotone with respect to H and G and a new kind of nonlinear set - valued variational inclusions with （ H, η） - monotone operator are introduced and a new iterative algorithm of approximating solution for some nonlinear set - valued variational inclusions is studied by resolvent operator technique associated with （ H, η） - monotone operator and the convergence of iterative result sequence is discuss. The results presented in this paper improve and extend the Fang Y. P. , Han Z., Zeng L. C., el al. ＇s results in the recently literature. |
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| Keywords: | （ H, η） - monotone operator Resolvent operator technique System of nonlinear set - valued variational inclusions iterative algorithm |
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