On an Implicit Method for Nonconvex Variational Inequalities
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In this paper, we suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under partially relaxed strongly monotonicity, which is a weaker condition than cocoerciveness. Our method of proof is very simple.
KeywordsVariational inequalities Nonconvex sets Monotone operators Iterative method Convergence
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