On a Bregman regularized proximal point method for solving equilibrium problems

被引：0
|
作者：
J. X. Cruz Neto
P. S. M. Santos
R. C. M. Silva
J. C. O. Souza
机构：
[1] Federal University of Piauí,Department of Mathematics
[2] Federal University of Piauí,CMRV
[3] Federal University of Amazonas,Department of Mathematics
[4] Federal University of Piauí,Department of Mathematics
来源：
Optimization Letters | 2019年 / 13卷
关键词：
Equilibrium problem; Regularization method; Proximal point method; Bregman function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a Bregman regularized proximal point method for solving monotone equilibrium problems. Existence and uniqueness results as well as convergence of the sequence to a solution of an equilibrium problem is analyzed. We assume a coercivity condition on the Bregman function weaker than the one considered in the literature on equilibrium problems with Bregman regularization. Numerical experiments illustrate the efficiency of the method.
引用
收藏
页码：1143 / 1155
页数：12
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