An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems

被引：0
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作者：
Yekini Shehu
Olaniyi S. Iyiola
Duong Viet Thong
Nguyen Thi Cam Van
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Institute of Science and Technology (IST),Department of Mathematics and Physical Sciences
[3] California University of Pennsylvania,Institute of Research and Development
[4] Duy Tan University,Faculty of Economics Mathematics
[5] National Economics University,undefined
来源：
Mathematical Methods of Operations Research | 2021年 / 93卷
关键词：
Equilibrium problem; Variational inequality problem; Extragradient method; 90C33; 47J20;
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摘要：
The paper introduces an inertial extragradient subgradient method with self-adaptive step sizes for solving equilibrium problems in real Hilbert spaces. Weak convergence of the proposed method is obtained under the condition that the bifunction is pseudomonotone and Lipchitz continuous. Linear convergence is also given when the bifunction is strongly pseudomonotone and Lipchitz continuous. Numerical implementations and comparisons with other related inertial methods are given using test problems including a real-world application to Nash–Cournot oligopolistic electricity market equilibrium model.
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页码：213 / 242
页数：29
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