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A Projection Algorithm for Non-monotone Variational Inequalities by Burachik, Regina S.; Millán, R. Díaz is a scholarly article available to read on EtoBox.

What is A Projection Algorithm for Non-monotone Variational Inequalities about?

We introduce and study the convergence properties of a projection-type algorithm for solving the variational inequality problem for point-to-set operators. No monotoni\-city assumption is used in our analysis. The operator defining the problem is only assumed to be continuous in the point-to-set sense, i.e., inner- and outer-semicontinuous. Additionally, we assume non-emptiness of the so-called dual solution set. We prove that the whole sequence of iterates converges to a solution of the variational inequality. Moreover, we provide numerical experiments illustrating the behavior of our iterates. Through several examples, we provide a comparison with a recent similar algorithm.

Author

Burachik, Regina S.; Millán, R. Díaz

Published

2016

Language

EN