In the literature, the most authors modify the viscosity methods or hybrid
projection methods to construct the strong convergence algorithms for
solving the pseudomonotone equilibrium problems. In this paper, we introduce
some new extragradient methods with non-convex combination to solve the
pseudomonotone equilibrium problems in Hilbert space and prove the strong
convergence for the constructed algorithms. Our algorithms are very different
with the existing ones in the literatures. As the application, the fixed
point theorems for strict pseudo-contraction are considered. Finally, some
numerical examples are given to show the effectiveness of the algorithms.