A class of gap functions for quasi-variational inequality problems
A class of gap functions for quasi-variational inequality problems
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DOI：
10.3934/jimo.2007.3.165
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发表时间：
2007-05-01
影响因子：
1.3
通讯作者：
Fukushima, Masao
中科院分区：
文献类型：
--
作者：
Fukushima, Masao
提出了一类拟变分不等式问题的间隙函数。我们证明了带差距函数的优化重构与原QVIP之间的等价性。给出了差距函数连续且方向可微的条件。
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.