| 摘要: |
| 本文提出了求解单调包含问题的一种新的惯性混合邻近外梯度算法, 我们证明了由该算法产生点列弱收敛于单调包含问题的解, 建立了惯性混合邻近外梯度算法的非渐近全局收敛率. 在惯性混合邻近外梯度算法的框架下, 本文提出并分析了惯性$Tseng's$ 向前向后算法和惯性非精确$Spingarn's$部分逆算法的收敛性和非渐近全局收敛率. |
| 关键词: 混合邻近外梯度算法 惯性 $Tseng's$向前向后算法 $Spingarn's$部分逆算法 |
| DOI： |
| 分类号:O221.2 |
| 基金项目:基础科学与前言技术研究（重点）(NO.cstc2015jcyjBX0029)；国家自然科学基金面上项目（11171363） |
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| A inertial Hybrid Proximal Extragradient Method for Solving Monotone Inclusions |
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He Mingming1, Peng Jianwen2
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1.School of Mathematical Sciences, Chongqing Normal University;2.Chongqing Normal University
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| Abstract: |
| In this paper, we propose a new inertial hybrid proxiaml extragradient method for solving monotone inclusion problems. We prove the weak convergence of the point sequence generated by the algorithm, and build the non-asymptotic global convergence rate of the inertial hybrid proxiaml extragradient method. In the framework of inertial hybrid proxiaml extragradient method , we propose and analyze the convergemce and non-asymptotic global convergence rate of an inertial Tseng's forward-backward method, and an inertial inexact Spingarn's partial inverse method. |
| Key words: Hybrid proximal extragradient method inertia Tseng's forward-backward method Spingarn's Partial Inverse Method |
