| 摘要: |
| 本文研究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.利用Opial定理，获得了惯性混合邻近外梯度算法的弱收敛性和非渐近全局收敛率.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: |
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| A INERTIAL HYBRID PROXIMAL EXTRAGRADIENT METHOD FOR SOLVING MONOTONE INCLUSIONS |
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HE Ming-ming, PENG Jian-wen
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School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
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| Abstract: |
| In this paper, we study a new inertial hybrid proxiaml extragradient method for solving monotone inclusion problems. By using the Opial theorem, we obtain the weak convergence and 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 |
