An existence result for a generalized inequality over a possible unbounded domain in a finite-dimensional space is established. The proof technique allows to avoid any monotonicity assumption. We adapt a weak coercivity condition introduced in Castellani and Giuli (J Glob Optim 75:163–176, 2019) for a generalized game which extends an older one proposed by Konnov and Dyabilkin (J Glob Optim 49:575–577, 2011) for equilibrium problems. Our main result encompasses and generalizes several existence results for equilibrium, quasiequilibrium and fixed-point problems.

中文翻译：

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有限维空间上的广义 Ky Fan 极小极大不等式

建立有限维空间中可能无界域上广义不等式的存在结果。证明技术允许避免任何单调性假设。我们将 Castellani 和 Giuli (J Glob Optim 75:163–176, 2019) 中引入的弱矫顽力条件应用于广义游戏，该游戏扩展了 Konnov 和 Dyabilkin (J Glob Optim 49:575–577, 2011) 提出的旧游戏平衡问题。我们的主要结果包含并概括了平衡、准平衡和不动点问题的几个存在结果。