| 一类似变分包含组解的存在性与迭代算法 |
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| 引用本文： | 何中全.一类似变分包含组解的存在性与迭代算法[J].西华师范大学学报(哲学社会科学版),2009,30(1):41-46. |
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| 作者姓名： | 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： | 国家自然科学基金资助项目(10171070) |
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| 摘 要： | 在Hilbert空间中引进和研究了一类带η-单调算子的非线性似变分包含组（SNVLI），得到了SNVLI解的存在定理，给出了一个新的迭代算法，讨论了由迭代算法确定的序列关于SNVLI解的收敛性．本文的工作推广和改进了很多已知的结果．
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| 关 键 词： | 似变分包含组 η-单调算子 预解算子 解的存在性 迭代算法 |
A System of Nonlinear Variational-Like Inclusions and Approximation Algorithm |
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| HE Zhong-quan.A System of Nonlinear Variational-Like Inclusions and Approximation Algorithm[J].Journal of China West Normal University:Natural Science Edition,2009,30(1):41-46. |
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| Authors: | 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: | In this paper,we introduce and study a new system of nonlinear variational-like inclusions with y-monotone mappings in Hilbert spaces.Using Banach Contract Mapping Principle,we prove the solutions existence and uniqueness for the system of variational inclusions,we also construct a new algorithm for approximating the solutions of the system of variational inclusions and discuss the convergence of iterative sequences generated by the algorithm.These results improve and promate many known results in the liter... |
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| Keywords: | system of variational-like inclusions η-monotone resolvent mapping existence of solutions Iterative algorithm |
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