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.
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页码：1143 / 1155
页数：12
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