Volume 37 • Number 2 • 2014   • Convergence Theorems for multi-valued mappings Yekini Shehu and G.C. Ugwunnadi Abstract. 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. 2010 Mathematics Subject Classification: 47H06, 47H09, 47J05, 47J25 Full text: PDF