On Some Fixed Point Iterative Schemes with Strong Convergence and Their Applications

In this paper, a new one-parameter class of fixed point iterative method is proposed to approximate the points contractive type mappings. The presence an arbitrary parameter in family increases its interval convergence. Further, we also propose two-step and three-step schemes. We discuss stability, strong convergence fastness methods. Furthermore, numerical experiments are performed check applicability methods, these have been compared with well-known similar existing methods literature.