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A Brief Description of The Proximal Point Method in Optimization and Variational Problems
YE Zi-Shi,Chun-Rong *
College of Mathematics and Statistics, Chongqing University, Chongqing 401331
*Correspondence author
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Funding: Fundamental Research Funds for the Central Universities （No.106112017CDJZRPY0020）
Opened online:26 January 2022
Accepted by: none
Citation: YE Zi-Shi,Chun-Rong.A Brief Description of The Proximal Point Method in Optimization and Variational Problems[OL]. [26 January 2022] http://en.paper.edu.cn/en_releasepaper/content/4756142
 
 
The proximal point method is an important approach for solving generalized equations. It is widely used in solving optimization problems and variational inequalities, and plays an important role in real life and production. This article mainly introduces the research status of the proximal point method, the basic framework of this method, important convergence conclusions and the specific forms of the proximal point method applied to several common problems.
Keywords:Proximal point method; Exact and inexact forms; Optimization problems; Variational inequality problems; Saddle point problems
 
 
 

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