Convergence Analysis of Some Inertial Algorithms for Equilibrium Problems

Abstract

In this paper, we introduce and study efficient iterative algorithms for solving equilibrium problems (EPs). The problems under consideration satisfy certain con- ditions on monotonicity and pseudomonotonicity in addition to a Lipschitz-type condition. We apply the inertial extrapolation technique to accelerate some algo-rithms proposed recently. Two strongly convergent theorems are established, fol- lowed by some numerical results, which are reported to demonstrate the efficiency of our proposed algorithms.