INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING GENERALIZED EQUILIBRIA PROBLEMS

被引：0
|
作者：
Ceng, Lu-Chuan [1 ]
Yao, Zhangsong [2 ]
Yin, Tzu-Chien [3 ]
机构：
[1] Department of Mathematics, Shanghai Normal University, Shanghai,200234, China
[2] School of Information Engineering, Nanjing Xiaozhuang University, Nanjing,211171, China
[3] Research Center for Interneural Computing, China Medical UniversityHospital, China Medical University, Taichung,40402, Taiwan
来源：
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2024年 / 86卷 / 03期
关键词：
Algorithm for solving - Equilibrium problem - Extragradient algorithms - Fixed points - Generalized equilibrium problems - Inertial extragradient algorithm - Pseudomonotone - Pseudomonotone variational inequality - Split problem - Variational inequalities;
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摘要：
In this paper, we present an inertial extragradient algorithm for solving a generalized equilibrium problem with constraints of a split fixed point problem and a variational inequality problem, in which the process exploits the contractiveness of one operator at the upper-level problem and the pseudomonotonicity of another mapping at the lower level. Strong convergence result of the proposed process is established under some mild assumptions. © 2024, Politechnica University of Bucharest. All rights reserved.
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页码：3 / 14
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