Regularized gradient-projection algorithm for solving one-parameter nonexpansive semigroup, constrained convex minimization and generalized equilibrium problems

Our purpose in this paper is to propose an iterative algorithm for finding a common element of the fixed points set of common solutions of a one-parameter nonexpansive semigroup, the set of solutions of constrained convex minimization problem and the set of solutions of generalized equilibrium problem in a real Hilbert space using the idea of regularized gradient-projection algorithm under suitable conditions. Finally, we give an application.