| 有限个平衡问题与非扩张映象不动点问题的复合迭代方法 |
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| 引用本文： | 谷峰. 有限个平衡问题与非扩张映象不动点问题的复合迭代方法[J]. 系统科学与数学, 2011, 31(7) |
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| 作者姓名： | 谷峰 |
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| 作者单位： | 杭州师范大学应用数学研究所, 杭州310036;杭州师范大学数学系, 杭州310036 |
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| 基金项目： | 国家自然科学基金(11071169)资助课题; 浙江省自然科学基金(Y6110287)资助课题 |
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| 摘 要： | 在Hilbert空间中引进并研究一种新的复合粘性迭代算法,借以寻求有限个平衡问题的公共解集与非扩张映象不动点集的一个公共元素.所得结果改进并推广了最近一些人的最新结果.
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| 关 键 词： | 平衡问题 非扩张映象 不动点 迭代算法 |
THE COMPOSITE ITERATIVE METHOD FOR A FINITE FAMILY OF EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEM OF A NONEXPANSIVE MAPPING |
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| GU Feng. THE COMPOSITE ITERATIVE METHOD FOR A FINITE FAMILY OF EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEM OF A NONEXPANSIVE MAPPING[J]. Journal of Systems Science and Mathematical Sciences, 2011, 31(7) |
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| Authors: | GU Feng |
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| Affiliation: | GU Feng (Institute of Applied Mathematics and Department of Mathematics,Hangzhou Normal University,Hangzhou 310036) |
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| Abstract: | In this paper,a new iterative algorithm based on the composite viscosity approximation method is introduced to find a common element of the set of common solutions for a finite family of equilibrium problem and the set of fixed point of a nonexpansive mapping in Hilbert space.The results extend and improve the corresponding existing results. |
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| Keywords: | Equilibrium problem nonexpansive mapping fixed point iterative algorithm |
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