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Journal of Applied Mathematics
Volume 2014, Article ID 607509, 7 pages
Research Article

An Interior Projected-Like Subgradient Method for Mixed Variational Inequalities

1School of Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, China
2School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China

Received 5 February 2014; Accepted 12 March 2014; Published 15 May 2014

Academic Editor: Xian-Jun Long

Copyright © 2014 Guo-ji Tang and Xing Wang. 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.


An interior projected-like subgradient method for mixed variational inequalities is proposed in finite dimensional spaces, which is based on using non-Euclidean projection-like operator. Under suitable assumptions, we prove that the sequence generated by the proposed method converges to a solution of the mixed variational inequality. Moreover, we give the convergence estimate of the method. The results presented in this paper generalize some recent results given in the literatures.