AN INERTIAL ALGORITHM FOR SOLVING SPLIT VARIATIONAL INCLUSION PROBLEM

作     者：Guan, Jin-Lin Tang, Yan Zhang, Ye-Yu 

作者机构：School of Mathematics and Statistics Chongqing Technology and Business University Chongqing400067 China Chongqing Key Laboratory of Statistical Intelligent Computing and Monitoring Chongqing400067 China 

出 版 物：《UPB Scientific Bulletin, Series A: Applied Mathematics and Physics》 (UPB Sci Bull Ser A)

年 卷 期：2024年第86卷第4期

页      面：103-112页

核心收录：

学科分类：07[理学] 0835[工学-软件工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：This article was funded by the Natural Science Foundation of Chongqing (CSTB2024NSCQ-MSX1181)  the Science and Technology Research Project of Chongqing Municipal Education Commission (KJQN 202100838) and the Research Project of Chongqing Technology and Business University (2056022  2152022) 

主　　题：Consensus algorithm 

摘      要：This paper aims to investigate a new inertial algorithm for solving a split variational inclusion problem in real Hilbert spaces. Under very mild conditions, we prove a strong convergence theorem for the proposed algorithm by using self-adaptive stepsizes and demiclosedness principle. Furthermore, an application is given to illustrate the effectiveness of the algorithm. The results improve and extend the corresponding ones announced by some others in the earlier and recent literature. © 2024, Politechnica University of Bucharest. All rights reserved.