Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems

Abstract

In this paper, we investigate the split equilibrium problem and fixed point problem in Hilbert spaces. We propose an iterative scheme for solving such problem in which the involved equilibrium bifunctions$f$and$g$are pseudomonotone and monotone, respectively, and the operators$S$and$T$are all pseudocontractive. We show that the suggested scheme converges strongly to a solution of the considered problem.