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• W2964091497 abstract "We introduce a projection-type algorithm for solving the variational inequality problem for point-to-set operators, and establish its convergence properties. Namely, we assume that the operator of the variational inequality is continuous in the point-to-set sense, i.e., inner- and outer-semicontinuous. Under the assumption that the dual solution set is not empty, we prove that our method converges to a solution of the variational inequality. Instead of the monotonicity assumption, we require the non-emptiness of the solution set of the dual formulation of the variational inequality. We provide numerical experiments illustrating the behaviour of our iterates. Moreover, we compare our new method with a recent similar one." @default.
• W2964091497 created "2019-07-30" @default.
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• W2964091497 date "2019-07-25" @default.
• W2964091497 modified "2023-10-01" @default.
• W2964091497 title "A Projection Algorithm for Non-Monotone Variational Inequalities" @default.
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• W2964091497 doi "https://doi.org/10.1007/s11228-019-00517-0" @default.
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