A class of gap functions for quasi-variational inequality problems
Masao Fukushima - Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan (email)
Abstract: 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.
Keywords: Quasi-variational inequality problem, optimization reformulation, gap function.
Received: August 2006; Revised: October 2006; Published: April 2007.
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