eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2019-04-10 7 3 93 100 10.12691/ajams-7-3-2 AJAMS2019732 article Mollalgn Haile Takele mollalgnh@bdu.edu.et 1 B. Krishna Reddy 2 Department of Mathematics, College of Science, Bahir Dar University, Ethiopia Department of Mathematics, University College of Science, Osmania University, India In this paper, authors constructed Mann type of iterative method for the finite family of multi valued, nonself and nonexpansive mappings in a uniformly convex hyperbolic space. Authors proved strong convergence theorems of the iterative method, which approximates a common fixed point for the family single valued and multi valued nonexpansive mappings in a complete uniformly convex hyperbolic space which is more general than a complete CAT(0) space and a uniformly convex Banach space. The results in this work extended many results in the literature. http://pubs.sciepub.com/ajams/7/3/2/ajams-7-3-2.pdf fixed point nonself mapping nonexpansive mapping multi valued mapping mann type iterative method uniformly convex metric space hyperbolic space