A Strong Convergence Theorem for Nonexpansive Mappings and Monotone Mappings
Junhong Wang, Yongfu Su · 2009
The purpose of this paper is to propose a hybrid method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for an inverse strongly monotonemapping. We obtain a strong convergence theorem. The results of this paper improved and extended the results of W. Takahashi and Toyoda [W. Takahashi, Toyoda W, Weak convergence theorems for nonexpansive mappings and monotone mappings, Journal of Optimization Theory And Applications:vol 118, 417-428 (2003), ] and some others in some respects.