利用非线性标量化的技巧定义了广义向量变分不等式问题的理性函数,利用有限理性模型对广义向量变分不等式问题引入了一种新的良定性,这种良定性统一了广义向量变分不等式问题的Levitin—Polyak良定性与Hadamard良定性,且进一步的给出了广义向量变分不等式问题的各种良定性的充分条件.
In this paper, we define a rationality functions for generalized vector variational inequalities problems by a nonlinear scalarization method. Using bounded rationality model of generalized vector variational inequalities problems, we introduce a new well-posedness for generalized vector variational inequalities problems, which unifies its Hadamard and Levitin- Polyak well-posedness. Furthermore, we give some sufficient conditions on various types of well-posedness for generalized vector variational inequalities problems.