Iterative Algorithms for Solving the System of Generalized Mixed Equilibrium Problems

A new system of generalized mixed equilibrium problems involving non-monotone set-valued mappings is introduced and studied in real Hilbert spaces.Further,a system of generalized Wiener-Hopf equations problems is considered and its equivalence with the system of generalized mixed equilibrium problems is proved.By using a fixed point formulation of the system of generalized Wiener-Hopf equations problems,a new algorithm for solving the generalized mixed equilibrium problems is suggested and analyzed.The iterative sequences generated by the new algorithm converge strongly to the solution of the system of generalized mixed equilibrium problems.Our results are new and unify and generalize some recent results in this field.