Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 182539, 11 pages
doi:10.1155/2010/182539
Existence of solutions and algorithm for a system of variational inequalities
Yali Zhao1
, Zunquan Xia2
, Liping Pang2
and Liwei Zhang2
1Department of Mathematics, Bohai University, Jinzhou, Liaoning 121013, China
2Department of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning 116024, China
Abstract
We obtain some existence results for a system of variational inequalities (for short, denoted by SVI) by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an iterative algorithm and analysis convergence of the algorithm.