Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria

In this paper, we consider and study a general system of generalized nonlinear mixed composite-type equilibria in Hilbert spaces. First, we prove the existence and uniqueness of the solution for this system of generalized nonlinear mixed composite-type equilibria. Second, the Mann iterative method with errors is extended to develop some new iterative algorithms for finding approximate solutions for this system of generalized nonlinear mixed composite-type equilibria. We also derive the strong convergence of the sequences generated by these iterative algorithms in Hilbert spaces.