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求解变分不等式的修正三步迭代法(英文)

Modified three-step iterative method for solving variational inequalities
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摘要 为了求变分不等式问题的解集和非扩张映射的不动点集的公共点,本文介绍了一种修正的三步迭代法,并证明了在更弱的条件下该算法的强收敛性. A modified three-step iterative method for finding a common element of the solution set of a variational inequality problem and the set of fixed points of a nonexpansive mapping are introduced. We will study the strong convergence of the algorithm under weaker conditions.
作者 翟广福 范丽亚
机构地区 聊城大学数学科学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2009年第6期69-74,共6页 Journal of Shandong University(Natural Science)
基金 This researchis supported by National Natural Science Foundation of China(10871226)
关键词 三步迭代方法 变分不等式 非扩张映射 极大单调 three-step iterative method variational inequality nonexpansive mapping maximal monotonicity
分类号 O178 [理学—基础数学]
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参考文献15

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山东大学学报（理学版）
2009年 第6期

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