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A class of gap functions for quasi-variational inequality problems. (English) Zbl 1170.90487
Summary: We present a class of gap functions for the Quasi-Variational Inequality Problem (QVIP). We show the equivalence between the optimization reformulation with the gap function and the original QVIP. We also give conditions under which the gap function is continuous and directionally differentiable.

MSC:
90C30 Nonlinear programming
65K10 Numerical optimization and variational techniques
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