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• W2019920356 abstract "Many variational inequality problems (VIPs) can be reduced, by a compactification procedure, to a VIP on the canonical simplex. Reformulations of this problem are studied, including smooth reformulations with simple constraints and unconstrained reformulations based on the penalized Fischer--Burmeister function. It is proved that bounded level set results hold for these reformulations under quite general assumptions on the operator. Therefore, it can be guaranteed that minimization algorithms generate bounded sequences and, under monotonicity conditions, these algorithms necessarily find solutions of the original problem. Some numerical experiments are presented." @default.
• W2019920356 created "2016-06-24" @default.
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• W2019920356 date "2000-01-01" @default.
• W2019920356 modified "2023-10-18" @default.
• W2019920356 title "Reformulation of Variational Inequalities on a Simplex and Compactification of Complementarity Problems" @default.
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• W2019920356 doi "https://doi.org/10.1137/s1052623499352826" @default.
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