Parallel extragradient-proximal methods for split equilibrium problems

Abstract

In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the hybrid (outer approximation) method. The weak and strong convergence theorems for iterative sequences generated by the algorithms are established under widely used assumptions for equilibrium bifunctions.

13 pages, submitted

References in corpus (4)

• Algorithms for the Split Variational Inequality Problem
• Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
• A parallel hybrid method for equilibrium problems, variational inequalities and nonexpansive mappings in Hilbert space
• The common solutions to pseudomonotone equilibrium problems