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
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.