Journal of Applied Mathematics
Volume 2012 (2012), Article ID 137932, 11 pages
http://dx.doi.org/10.1155/2012/137932
Research Article

Projection Algorithms for Variational Inclusions

Youli Yu,1 Pei-Xia Yang,2 and Khalida Inayat Noor3

1School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, China
2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
3Mathematics Department, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan

Received 7 October 2011; Accepted 22 October 2011

Academic Editor: Yonghong Yao

Copyright © 2012 Youli Yu et al. 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.

Abstract

We present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality.