A New Inertial Subgradient Projection Algorithm for Solving Pseudomonotone Equilibrium Problems

This is the authors' abstract. We don't add key points for this paper.

In this paper, we introduce a new inertial subgradient projection algorithm for finding a solution of an equilibrium problem in a real Hilbert space. The proposed algorithm combines subgradient projection methods with the self-adaptive and inertial techniques to generate iteration sequences. The convergent theorem are established under mild assumptions. Several fundamental experiments are shown to illustrate our algorithm.