Convergence theorem for an intermixed iteration in p-uniformly convex metric space

In this paper, we first introduce the intermixed algorithm in p-uniformly convex metric spaces, and then we prove increment -convergence of the proposed iterative method for finding a common element of the sets of fixed points of finite families of nonexpansive mappings in the framework of complete p-uniformly convex metric spaces. Furthermore, we apply our main theorem to prove increment -convergence to solve the minimization problems in the framework of complete p-uniformly convex metric spaces. Finally, we give two examples in Lp spaces and numerical examples to support our main results.