| 广义均衡和不动点问题的迭代算法 |
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| 引用本文： | 段培超. 广义均衡和不动点问题的迭代算法[J]. 河北师范大学学报(自然科学版), 2012, 36(2): 126-133 |
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| 作者姓名： | 段培超 |
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| 作者单位： | 中国民航大学理学院,天津,300300 |
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| 基金项目： | 中央高校基本科研项目(ZXH2011C002) |
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| 摘 要： | 运用粘滞迭代方法,提出一种寻求2个广义均衡问题解及无限多个非扩张映像不动点集的公共元的新的迭代格式,在Hilbert空间中,证明了该算法的强收敛性,推广和改进了相关的结果.
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| 关 键 词： | 广义均衡问题 非扩张映像 变分不等式 W映射 不动点 |
A New Iterative Scheme on Generalized Equilibrium and Fixed Point Problems of Infinitely Nonexpansive Mappings |
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| DUAN Peichao. A New Iterative Scheme on Generalized Equilibrium and Fixed Point Problems of Infinitely Nonexpansive Mappings[J]. Journal of Hebei Normal University, 2012, 36(2): 126-133 |
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| Authors: | DUAN Peichao |
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| Affiliation: | DUAN Peichao(College of Science,Civil Aviation University of China,Tianjin 300300,China) |
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| Abstract: | A new iterative algorithm for finding a common element of the fixed point set of infinitely many nonexpansive mappings and the solution set of two generalized equilibrium problems with viscosity approximation method is introduced.Strong convergence theorems are established in the frame of Hilbert spaces,and the corresponding results are extended and improved. |
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| Keywords: | generalized equilibrium problem nonexpansive mapping variational inequality W mapping fixed point |
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