Some new projection methods for variational inequalities

Authors:
Muhammad Aslam Noor;Yiju Wang;Naihua Xiu
Affiliations:
Department of Mathematics, Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab Emirates;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing Jiangsu, 210097, China;Department of Applied Mathematics, Northern Jiaotong University, Beijing 100044, China
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

In this paper, we propose some new double-projection methods for solving variational inequalities by using the Wiener-Hopf equations technique. It is shown that these methods converge linearly under mild conditions and include some existing projection methods as special cases. Some examples are given to illustrate the efficiency of the proposed methods.