Linear convergence of an iterative algorithm for solving the split equality mixed equilibrium problem

This paper investigates the linear convergence of a projection algorithm for solving the split equality mixed equilibrium problem (SEMEP).We introduce the notion of bounded linear regularity property for the SE-MEP and construct several sufficient conditions to prove its linear convergence.Furthermore, the result of the linear convergence of the SEMEP is applied to split equality equilibrium problems, split equality convex minimization problems, split equality mixed variational inequality problems, and split equality variational inequality problems.Finally, numerical results are provided to verify the effectiveness of our proposed algorithm.