An extragradient algorithm for solving general nonconvex variational inequalities

作者：Noor Muhammad Aslam^*

来源：Applied Mathematics Letters, 2010, 23(8): 917-921.

DOI：10.1016/j.aml.2010.04.011

• Variational inequalities
• Nonconvex sets
• Monotone operators
• Iterative method
• Convergence

In this work, we suggest and analyze an extragradient method for solving general nonconvex variational inequalities using the technique of the projection operator. We prove that the convergence of the extragradient method requires only pseudomonotonicity, which is a weaker condition than requiring monotonicity. In this sense, our result can be viewed as an improvement and refinement of the previously known results. Our method of proof is very simple as compared with other techniques.

• 出版日期2010-8