| Hilbert空间中混合均衡问题的一种新的迭代格式的强收敛性定理 |
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| 引用本文： | 陈丽君,黄建华.Hilbert空间中混合均衡问题的一种新的迭代格式的强收敛性定理[J].福州大学学报(自然科学版),2012,40(1):6-13. |
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| 作者姓名： | 陈丽君 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,引入一种新的求混合均衡问题解集、非扩张映象有限族的不动点集与松弛余强制映象的变分不等式问题解集的公共元素迭代方法,并证明其在一定参数条件下的强收敛性.所得结果是相关文献结果的补充和完善.
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| 关 键 词： | Hilbert空间 混合均衡问题 变分不等式 非扩张映象 松弛余强制 |
Strong convergence of a new iterative method for mixed equilibrium problems in a Hilbert space |
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| CHEN Li-jun,HUANG Jian-hua.Strong convergence of a new iterative method for mixed equilibrium problems in a Hilbert space[J].Journal of Fuzhou University(Natural Science Edition),2012,40(1):6-13. |
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| Authors: | CHEN Li-jun HUANG Jian-hua |
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| Institution: | (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
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| Abstract: | We introduce a new iterative scheme for finding a common element of the set of fixed points of finitely nonexpansive mappings,the set of solutions of a mixed equlibrium problem,and the set of solutions of the variational inequality for a relaxed(u,v) – cocoercive mapping in a Hilbert space.Then the strong convergence of the proposed iterative algorithm is proved under some conditions.The results of this paper extend and improve the previously known results in this area. |
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| Keywords: | Hilbert space mixed equilibrium problem variational inequality nonexpansive mapping relaxed cocoercive mapping |
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