Acta Mathematica Vietnamica

In this paper, we investigate global error bounds for nonmonotone affine variational inequalities in finite-dimensional spaces. We establish a characterization of global error bounds on the feasible sets of these problems. Furthermore, we derive several sufficient conditions and necessary conditions for the existence of global error bounds on the feasible sets. Our results complement existing findings for some classes of monotone affine variational inequalities. Several illustrative examples are presented to demonstrate the applicability of the obtained results.

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