Viscosity Approximation Algorithm of Common Solutions for Fixed Points of Nonexpansive Mappings and Variational Inclusion Problems
Xiao Hui-cheng · Journal of Sichuan Normal University · 2010
In this paper,we introduce a new iterative scheme for finding a common element of the set of solutions for the variational inclusion problem with multi-valued maximal monotone mapping and inverse-strongly monotone mappings and the set of common fixed point for a nonexpansive mappings in Hilbert space.It is shown that under suitable conditions by the viscosity approximation algorithms,some strong convergence theorems for approximating to this common elements are proved.The results presented in the paper extend and improve some recent results.