On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces

被引：15

作者：

Dadashi, Vahid ^{[1
]}

Khatibzadeh, Hadi ^{[2
]}

机构：

[1] Islamic Azad Univ, Sari Branch, Dept Math, Sari, Iran

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

来源：

OPTIMIZATION | 2017年 / 66卷 / 09期

关键词：

Proximal point algorithm; maximal monotone operator; phi-strongly monotone; phi-generalized monotone; phi-expansive operator; equilibrium problems; MONOTONE-OPERATORS; EQUILIBRIUM PROBLEMS;

D O I：

10.1080/02331934.2017.1337764

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, some proximal point algorithms ( PPAs) for maximal monotone operators in Banach spaces are considered. We obtain some results on the boundedness and the convergence of sequences generated by the PPAs with some assumptions. We can also get zero of maximal f-expansive operator and maximal f-monotone at zero operator using this method and then we apply it for finding a solution of the equilibrium problem.

引用

页码：1487 / 1494

页数：8

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