| 广义均衡问题和不动点问题的收敛性定理及应用 |
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| 引用本文： | 段培超,高国明.广义均衡问题和不动点问题的收敛性定理及应用[J].中国民航学院学报,2010(6):59-64. |
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| 作者姓名： | 段培超 高国明 |
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| 作者单位： | [1]中国民航大学理学院,天津300300 [2]广西师范大学计算机科学与信息工程学院,广西桂林541001 |
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| 基金项目： | 中央高校基本科研业务费（ZXH2009D021） |
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| 摘 要： | 运用平行算法，提出一种寻求广义均衡问题解及有限个严格伪压缩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。
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| 关 键 词： | 严格伪压缩 广义均衡问题 变分不等式 平行算法 不动点 |
Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems for Strict Pseudo-Contractions with Applications |
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| DUA N Pei-chao,GAO Guo-ming.Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems for Strict Pseudo-Contractions with Applications[J].Journal of Civil Aviation University of China,2010(6):59-64. |
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| Authors: | DUA N Pei-chao GAO Guo-ming |
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| Institution: | 1. College of Science, CA UC, Tianjin 300300, China;2. College of Computer Science and Information Engineering, Guangxi Normal University, Guangxi Guilin 541004, China) |
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| Abstract: | Introducing a new iterative algorithm for finding a common element of the fixed point set of strict pseudocontractions and the solution set of generalized equilibrium problems with the parallel algorithm. Strong convergence theorems are established in the frame of Hilbert spaces. The results presented in this paper improve and extend the corresponding results reported by many others. |
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| Keywords: | strict pseudo-contraction generalized equilibrium problem variational inequality parallel algorithm fixed point |
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