Numerical Algorithms

, Volume 73, Issue 1, pp 197–217

Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

Original Paper

DOI: 10.1007/s11075-015-0092-5

Cite this article as:
Van Hieu, D., Muu, L.D. & Anh, P.K. Numer Algor (2016) 73: 197. doi:10.1007/s11075-015-0092-5

Abstract

In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions and the set of fixed points of nonexpansive mappings in a real Hilbert space. Based on parallel computation we can reduce the overall computational effort under widely used conditions on the bifunctions and the nonexpansive mappings. A simple numerical example is given to illustrate the proposed parallel algorithms.

Keywords

Equilibrium problemPseudomonotone bifunctionLipschitz-type continuityNonexpansive mappingHybrid methodParallel computation

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of MathematicsVietnam National UniversityHanoiVietnam
  2. 2.Institute of Mathematics, VASTHanoiVietnam