%0 Journal Article %T Extended Extragradient Methods for Generalized Variational Inequalities %A Yonghong Yao %A Yeong-Cheng Liou %A Cun-Lin Li %A Hui-To Lin %J Journal of Applied Mathematics %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/237083 %X We suggest a modified extragradient method for solving the generalized variational inequalities in a Banach space. We prove some strong convergence results under some mild conditions on parameters. Some special cases are also discussed. %U http://www.hindawi.com/journals/jam/2012/237083/