Convergence theorems for multi-valued mappings

In this paper, we introduce a new iterative process to approximate a common fixed point of an infinite family of multi-valued generalized nonexpansive maps in a uniformly convex real Banach space and establish strong convergence theorems for the proposed iterative process. Furthermore, strong convergence theorems for infinite family of multi-valued nonexpansive maps are obtained. Our results extend many known recent results in the literature.