Splitting extragradient-like algorithms for strongly pseudomonotone equilibrium problems

Original Paper

DOI: 10.1007/s11075-016-0244-2

Cite this article as:
Pham, K.A. & Trinh, N.H. Numer Algor (2016). doi:10.1007/s11075-016-0244-2


In this paper, two splitting extragradient-like algorithms for solving strongly pseudomonotone equilibrium problems given by a sum of two bifunctions are proposed. The convergence of the proposed methods is analyzed and the R-linear rate of convergence under suitable assumptions on bifunctions is established. Moreover, a noisy data case, when a part of the bifunction is contaminated by errors, is studied. Finally, some numerical experiments are given to demonstrate the efficiency of our algorithms.


Equilibrium problem Strong pseudomonotonicity Lipschitz-type continuity Splitting-up technique Parallel computation Error estimates 

Mathematics Subject Classification

47H05 47J25 65K10 65Y05 90C25 90C33 

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of MathematicsVietnam National UniversityHanoiVietnam
  2. 2.School of Applied Mathematics and InformaticsHanoi University of Science and TechnologyHanoiVietnam

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