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Hilbert空间中的平衡问题与不动点问题的复合迭代方法

Composite Iterative Methods for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
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摘要 在Hilbert空间中引进并研究一种新的复合迭代算法,借以寻求平衡问题的解集、非扩张映像不动点集和变分不等式解集的一个公共元素.所得结果改进并推广了最近一些人的最新结果. This paper introduced and studied on a new composite iterative algorithm in Hilbert space to find a common element among the set of solutions for equilibrium problems, the set of fixed point of nonexpansive mappings and the set of variational inequalities. The results presented can extend and improve the corresponding results announced by many others.
作者 李亚琼 谷峰
出处 《杭州师范大学学报(自然科学版)》 CAS 2011年第1期34-41,共8页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 国家自然科学基金项目(10771141) 浙江省自然科学基金项目(Y605191) 杭州师范大学研究生创新基金项目 杭州师范大学研究生教改项目
关键词 平衡问题 非扩张映像 α-逆-强单调映像 不动点 复合迭代算法 equilibrium problem nonexpansive mapping~ a-inverse-strongly monotone mapping fixed point compositeite rative algorithm
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参考文献7

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