Volume 32 • Number 3 • 2009   • An Iterative Approximation Method for a Countable Family of Nonexpansive Mappings in Hilbert Spaces Rabian Wangkeeree Abstract. In this paper, to find a common element of the fixed point set of common fixed points of a countable family of nonexpansive mappings and the solution set of the variational inequality for α-inverse-strongly monotone, we introduce an iterative approximation method in a real Hilbert space. Then the strong convergence theorem is proved under some appropriate conditions imposed on the parameters. This result extended and improved the corresponding results of Yao and Yao [15] and many others. 2000 Mathematics Subject Classification: 47H09, 47H10, 47H17. Full text: PDF