Convergence of iterative algorithms for a generalized variational inequality and a nonexpansive mapping
Abstract
In this paper, fixed point problems of nonexpansive mappings and solution problems of generalized variational inequalities are investigated based on a viscosity approximate iterative algorithm. Strong convergence theorems for common elements which lie in the fixed point set and in the solution set are established in the framework of Hilbert spaces.
Copyright © 2012 Songtao Lv and Changqun Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. L. a. Changqun Wu, Convergence of iterative algorithms for a generalized variational inequality and a nonexpansive mapping, Eng. Math. Lett. 1 (2012), 44–57.
BibTeX
@article{Wu2012,
author = {Changqun Wu, Songtao Lv and},
title = {Convergence of iterative algorithms for a generalized variational inequality and a nonexpansive mapping},
journal = {Eng. Math. Lett.},
volume = {1},
year = {2012},
pages = {44--57},
doi = {}
}