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Zbl 1170.90487
Fukushima, Masao
A class of gap functions for quasi-variational inequality problems. (English)
[J] J. Ind. Manag. Optim. 3, No. 2, 165-171 (2007). ISSN 1547-5816; ISSN 1553-166X/e

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 2000:
*90C30 Nonlinear programming
65K10 Optimization techniques (numerical methods)

Keywords: optimization reformulation

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