Equilibrium points for two related projective dynamical systems

This paper studies the equilibrium point of two related global dynamical systems in R ⁿ × R ^m. The existence and uniqueness of the equilibrium point of the systems is obtained under suitable conditions. Moreover, an iterative method is used to construct a sequence which strongly converges to the equilibrium point. We also give a numerical example and a counter example to demonstrate the validity of the main results presented in this paper.