Inertial Viscosity Iterative Method for Solving Pseudo-monotone Variational Inequality Problems and Fixed Point Problems  

作　　者：Gang CAI Qiao Li DONG Yu PENG 

机构地区：[1]School of Mathematics Science,Chongqing Normal University,Chongqing 401331,P.R.China [2]College of Science,Civil Aviation University of China,Tianjin 300300,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第5期937-952,共16页数学学报（英文版）

基　　金：Supported by the NSF of China(Grant Nos.11771063,11971082 and 12171062);the Natural Science Foundation of Chongqing(Grant No.cstc2020jcyj-msxm X0455);Science and Technology Project of Chongqing Education Committee(Grant No.KJZD-K201900504);the Program of Chongqing Innovation Research Group Project in University(Grant No.CXQT19018);Open Fund of Tianjin Key Lab for Advanced Signal Processing(Grant No.2019ASP-TJ03)。

摘　　要：In this paper,we investigate a new inertial viscosity extragradient algorithm for solving variational inequality problems for pseudo-monotone and Lipschitz continuous operator and fixed point problems for quasi-nonexpansive mappings in real Hilbert spaces.Strong convergence theorems are obtained under some appropriate conditions on the parameters.Finally,we give some numerical experiments to show the advantages of our proposed algorithms.The results obtained in this paper extend and improve some recent works in the literature.

关 键 词：Extragradient method variational inequality fixed point strong convergence quasi-nonexpansive mapping 

分 类 号：O177.91[理学—数学]