| 广义均衡问题和非扩张映射的强收敛定理 |
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| 引用本文： | 秦秀根,黄建华.广义均衡问题和非扩张映射的强收敛定理[J].福州大学学报(自然科学版),2012,40(3):285-292. |
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| 作者姓名： | 秦秀根 黄建华 |
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| 作者单位： | 福州大学数学与计算机科学学院 |
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| 摘 要： | 在Hilbert空间中研究关于寻求广义均衡组问题的解集和非扩张映射不动点集的公共元素的迭代算法,并证明一个强收敛定理.所得到的结果扩展和改进了在此问题上的相关研究成果.
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| 关 键 词： | 非扩张映射 广义均衡问题 不动点 逆强单调映射 |
Strong convergence for generalized equilibrium problems and a nonexpansive mapping |
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| QIN Xiu-gen,HUANG Jian-hua.Strong convergence for generalized equilibrium problems and a nonexpansive mapping[J].Journal of Fuzhou University(Natural Science Edition),2012,40(3):285-292. |
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| Authors: | QIN Xiu-gen HUANG Jian-hua |
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| Affiliation: | (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
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| Abstract: | In this paper,we introduce an iterative algorithm for finding the common solutions of generalized equilibrium problems and fixed points problem of nonexpansive mapping in Hilbert spaces.And we prove a strong convergence theorem.The result presented mainly improves on the corresponding results reported. |
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| Keywords: | nonexpansive mapping generalized equilibrium problem fixed point inverse-strongly monotone mapping |
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