Some Remarks on the Proximal Point Algorithm

被引：20

作者：

Khatibzadeh, Hadi ^{[1
]}

机构：

[1] Univ Zanjan, Dept Math, Zanjan, Iran

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 153卷 / 03期

关键词：

Proximal-point algorithm; Maximal monotone operators; Asymptotic behavior; Rate of convergence; Equilibrium problems; Monotone bifunctions;

D O I：

10.1007/s10957-011-9973-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we obtain some results on the boundedness and asymptotic behavior of the sequence generated by the proximal point algorithm without summability assumption on the error sequence. We also study the rate of convergence to minimum value of a proper, convex, and lower semicontinuous function. Finally, we consider the proximal point algorithm for solving equilibrium problems.

引用

页码：769 / 778

页数：10

共 50 条

[1] Some Remarks on the Proximal Point Algorithm [J].

Hadi Khatibzadeh .

Journal of Optimization Theory and Applications, 2012, 153 :769-778

[2] The Proximal Point Algorithm Revisited [J].

Dong, Yunda .

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[3] The Proximal Point Algorithm Revisited [J].

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Journal of Optimization Theory and Applications, 2014, 161 :478-489

[4] An abstract proximal point algorithm [J].

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[5] Comments on “The Proximal Point Algorithm Revisited” [J].

Yunda Dong .

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[6] Comments on "The Proximal Point Algorithm Revisited" [J].

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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 166 (01) :343-349

[7] On the Proximal Point Algorithm [J].

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[8] On the proximal point algorithm [J].

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[9] An abstract proximal point algorithm [J].

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[10] Robustness of the hybrid extragradient proximal-point algorithm [J].

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