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极大单调算子的一个投影近似邻近点算法 被引量：1

A Projection Approximate Proximal Algorithm for Maximal Monotone Operators
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摘要 在Hilbert空间中给出求极大单调算子零点的近似邻近点算法,给出的误差准则比现有的算法弱,并证明该算法生成的序列{xk}弱收敛到算子的零点。应用该算法求解单调变分不等式,得到求解单调变分不等式的近似邻近点算法。 This paper presents a approximate proximal algorithm finding the zero of a maximal monotone operator in Hilbert space, whose error criterion is weaker than that in the literatures. It＇s proved that the sequence {x^k} generated by this algorithm converges weakly to the zero point of the maximal monotome operator. It＇s applied to solve the variational inequality problem involving a monotone operator, and a new approximate proximal algorithm is established.
作者 孙巍 吴长亮 范江华
机构地区 中南大学数学科学与计算技术学院 桂林工学院数理系 广西师范大学数学科学学院
出处 《广西师范大学学报（自然科学版）》 CAS 北大核心 2008年第2期37-40,共4页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10761002) 广西科学基金资助项目(0832101)
关键词 极大单调算子 近似邻近点算法 变分不等式 maximal monotone operator approximate proximal algorithm variational inequality
分类号 O175.6 [理学—基础数学]
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参考文献11

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共引文献15

同被引文献17

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引证文献1

广西师范大学学报（自然科学版）
2008年 第2期

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