| 关于广义非线性隐似变分包含问题 |
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| 引用本文： | 高大鹏,冯世强,何中全.关于广义非线性隐似变分包含问题[J].西华师范大学学报(哲学社会科学版),2009(4):345-350. |
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| 作者姓名： | 高大鹏 冯世强 何中全 |
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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637009 |
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| 基金项目： | Supported by the National Natural Science Foundation of China（ grant 60804065 ） |
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| 摘 要： | 文章在Hilbert空间中引入了一类新的涉及（A，η）单调映射的非线性集值隐似变分包含问题，基于与（A，η）单调性相关的广义预解算子技巧，用一种迭代算法研究了解的近似可解性，所得结果改进了许多近期结果．
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| 关 键 词： | (A η)单调映射 非线性隐似变分包含问题 预解算子技巧 迭代算法 |
On Generalized Nonlinear Implicit Variational-Like Inclusions Problems |
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| GAO Da-peng,FENG Shi-qiang,HE Zhong-quan.On Generalized Nonlinear Implicit Variational-Like Inclusions Problems[J].Journal of China West Normal University:Natural Science Edition,2009(4):345-350. |
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| Authors: | GAO Da-peng FENG Shi-qiang HE Zhong-quan |
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| Institution: | (School of Mathematics and Information, China West Normal University, Nanchong 637009, China) |
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| Abstract: | A new class of nonlinear set-valued implicit variational-like inclusions involving （A,η ）-mono- tone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with （A,η）-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. The results presented here improve many recent works. |
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| Keywords: | （A η） -monotone mapping nonlinear implicit variational-like inclusion problems resolvent operator technique iterative algorithm |
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