A new extragradient algorithm for split equilibrium problems and fixed point problems

Abstract

Abstract In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems. The strong convergence theorems are proved in the framework of Hilbert spaces under some mild conditions. We apply the obtained main result for the problem of finding a solution of split variational inequality problems and split fixed point problems and a numerical example and computational results are also provided.

Keywords

• Split equilibrium problem
• Pseudomonotonicity
• Extragradient method