Extragradient algorithms for split pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces

Abstract

In this paper, we propose some extragradient iterative algorithms to find a common solution for split pseudomonotone equilibrium problems and the fixed point problems of nonself nonexpansive mappings and prove the weak and strong convergence of the proposed algorithms in Hilbert spaces. A numerical example in an infinite dimensional space is given to illustrate our main convergence theorems.