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

作     者：Gang CAI Qiao Li DONG Yu PENG Gang CAI;Qiao Li;DONG Yu PENG

作者机构：School of Mathematics ScienceChongqing Normal UniversityChongqing 401331P.R.China College of ScienceCivil Aviation University of ChinaTianjin 300300P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第5期

页      面：937-952页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：Extragradient method variational inequality fixed point strong convergence quasi-nonexpansive mapping 

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 *** convergence theorems are obtained under some appropriate conditions on the ***,we give some numerical experiments to show the advantages of our proposed *** results obtained in this paper extend and improve some recent works in the literature.