The “finite intersection property” for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some characterizations are considered involving the Minty equilibrium problem. Also, some results concerning existence of equilibria and quasi-equilibria are established recovering several results in the literature. Furthermore, we give an existence result for generalized Nash equilibrium problems and variational inequality problems.

中文翻译：

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平衡问题的有限相交性质

介绍了双函数的“有限交集性质”，并研究了它与广义单调性质的关系。考虑到某些特征涉及Minty平衡问题。同样，建立了一些关于平衡和准平衡存在的结果，以恢复文献中的一些结果。此外，我们给出了广义纳什均衡问题和变分不等式问题的存在性结果。