On modified iterative method for nonexpansive mappings and monotone mappings

@article{Yao2007OnMI,
title={On modified iterative method for nonexpansive mappings and monotone mappings},
author={Yonghong Yao and Jen-Chih Yao},
journal={Applied Mathematics and Computation},
year={2007},
volume={186},
pages={1551-1558}
}

In this paper, we introduce a new iterative scheme for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for a-inverse-strongly monotone mappings. We show that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. 2006 Elsevier Inc. All rights reserved.Â