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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 493862, 11 pages
doi:10.1155/2012/493862
Modified Noor's Extragradient Method for Solving Generalized Variational Inequalities in Banach Spaces
1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
2Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea
3Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan
Received 9 January 2012; Accepted 20 January 2012
Academic Editor: Khalida Inayat Noor
Copyright © 2012 Shunhou Fan 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
Motivated and inspired by Korpelevich's and Noor's extragradient methods, we suggest an extragradient method by using the sunny nonexpansive retraction which has strong convergence for solving the generalized variational inequalities in Banach spaces.