TY - JOUR
T1 - A parallel descent-like prediction-correction method for structured variational inequalities with three blocks
AU - Min Sun and Jing Liu
JO - Journal of Information and Computing Science
VL - 2
SP - 090
EP - 097
PY - 2024
DA - 2024/01
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22551.html
KW -  variational 
convergence rate. 

AB - Min Sun1, Jing Liu2 
1.School of Mathematics and Statistics, Zaozhuang University , 
Zaozhuang, 277160, China. 
2.School of Mathematics and Statistics, Zhejiang University of Finance and Economics, 
Hangzhou, 310018, China. 
 (Received November 08, 2014, accepted March 07, 2015) 
This paper proposes a parallel descent-like prediction-correction method(PDPCM) for structured 
variational  inequalities  with  three  blocks.  In  the  prediction  step,  the  intermediate  point   
is 
produced  by  solving  three  low-dimensional  variational  inequalities  in  parallel.  In  the  correction  step,  a 
descent direction is first constructed using the iterate and the intermediate point, and then the new iterate is 
obtained  along  this  descent  direction.  Global  convergence  of  the  proposed  method  is  proved  under  mild 
assumptions, and we also establish its worse-case