Inertial Extragradient Methods for Solving Split Equilibrium Problems

Suthep Suantai, Narin Petrot and Manatchanok Khonchaliew
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Suthep Suantai: Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Narin Petrot: Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Manatchanok Khonchaliew: Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang 52100, Thailand

Mathematics, 2021, vol. 9, issue 16, 1-18

Abstract: This paper presents two inertial extragradient algorithms for finding a solution of split pseudomonotone equilibrium problems in the setting of real Hilbert spaces. The weak and strong convergence theorems of the introduced algorithms are presented under some constraint qualifications of the scalar sequences. The discussions on the numerical experiments are also provided to demonstrate the effectiveness of the proposed algorithms.

Keywords: split equilibrium problems; pseudomonotone bifunction; extragradient method; inertial method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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