Department of Applied Mathematics & Physics, Kyoto University

Technical Report 2006-010 (August 15, 2006)

A Class of Gap Functions for Quasi-Variational Inequality Problems
by Masao Fukushima

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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.