| 一个迭代序列的不动点问题变分不等式问题及平衡问题 |
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| 引用本文： | 邓微微,何中全.一个迭代序列的不动点问题变分不等式问题及平衡问题[J].内江师范学院学报,2012,27(4):19-23. |
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| 作者姓名： | 邓微微 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,637000 |
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| 基金项目： | 四川省教育厅重点课题基金资助项目 |
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| 摘 要： | 应用非扩张映射的黏性逼近方法,在Hilbert空间中建立了一种新的求解平衡问题非扩张映射的不动点问题及变分不等式问题的公共解的迭代算法,且在参数满足一定条件下给出由该迭代算法生成的迭代序列的强收敛定理.
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| 关 键 词： | 一族非扩张映射 平衡问题 不动点 变分不等式 |
A Solution for Solving Equilibrium,Fixed Point and Variational Inequality Problems of Iterative Sequences |
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| DENG Wei-wei,HE Zhong-quan.A Solution for Solving Equilibrium,Fixed Point and Variational Inequality Problems of Iterative Sequences[J].Journal of Neijiang Teachers College,2012,27(4):19-23. |
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| Authors: | DENG Wei-wei HE Zhong-quan |
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| Institution: | (School of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637000,China) |
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| Abstract: | By applying the viscosity approximation method for non-expansive mappings,a new iterative algorithm for finding the common solution for the equilibrium problem,fixed point problem of infinitely non-expansive mappings and the variational inequality problem was constructed in Hilbert spaces.Some convergence theorems of the iterative sequences are obtained when the parameters meet certain suitable conditions.The results improve and help popularize some of the recent research achievements published in many literatures. |
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| Keywords: | a family of infinitely non-expansive mappings equilibrium problem fixed point variational inequality |
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