# American Institute of Mathematical Sciences

April  2005, 1(2): 201-209. doi: 10.3934/jimo.2005.1.201

## An iterative method for general variational inequalities

 1 Department of Mathematics, Graduate School of Chinese Academy of Sciences, Beijing 100049, P. R., China

Received  July 2004 Revised  November 2004 Published  April 2005

Motivated by the observation that some reformulation based extragradient methods for general monotone variational inequalities in real Hilbert space may not generate a solution of the original problem, we propose an iterative method with line searches and prove its convergence for general pseudomonotone (monotone) variational inequality problems.
Citation: Hongxia Yin. An iterative method for general variational inequalities. Journal of Industrial & Management Optimization, 2005, 1 (2) : 201-209. doi: 10.3934/jimo.2005.1.201
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