Proximal Point Algorithms for General Variational Inequalities

Proximal Point Algorithms for General Variational Inequalities
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DOI:
10.1007/s10957-009-9532-5
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发表时间:
2009-03
影响因子:
1.9
通讯作者:
Min Li;L. Liao;Xiaoming Yuan
Min Li;L. Liao;Xiaoming Yuan
中科院分区:
数学3区
文献类型:
--
作者:
Min Li;L. Liao;Xiaoming Yuan

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给出了求解一般变分不等式(GVI)的邻近点算法(PPAs)的统一框架。将经典变分不等式的一些已有的PPA,包括精确的和不精确的,推广到求解GVI。因此,提出了几种新的基于PPA的算法。
This paper presents a unified framework of proximal point algorithms (PPAs) for solving general variational inequalities (GVIs). Some existing PPAs for classical variational inequalities, including both the exact and inexact versions, are extended to solving GVIs. Consequently, several new PPA-based algorithms are proposed.